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Finding the Third Proportional to 47,573.38 and 103,622.38

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Solution

The third proportional to 47,573.38 and 103,622.38 is: 225,706.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,573.38 : 103,622.38 = 103,622.38 : x
  2. Step 2: Convert to fraction form
    47,573.38/103,622.38 = 103,622.38/x
  3. Step 3: Cross multiply
    47,573.38x = 103,622.38 × 103,622.38
  4. Step 4: Simplify right side
    47,573.38x = 10,737,596,600.64
  5. Step 5: Solve for x
    x = 10,737,596,600.64/47,573.38
  6. Step 6: Final answer
    x = 225,706.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.