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Finding the Third Proportional to 47,310.75 and 103,477.50

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Solution

The third proportional to 47,310.75 and 103,477.50 is: 226,324.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,310.75 : 103,477.50 = 103,477.50 : x
  2. Step 2: Convert to fraction form
    47,310.75/103,477.50 = 103,477.50/x
  3. Step 3: Cross multiply
    47,310.75x = 103,477.50 × 103,477.50
  4. Step 4: Simplify right side
    47,310.75x = 10,707,593,006.25
  5. Step 5: Solve for x
    x = 10,707,593,006.25/47,310.75
  6. Step 6: Final answer
    x = 226,324.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.