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Finding the Third Proportional to 47,101.50 and 70,743.38

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Solution

The third proportional to 47,101.50 and 70,743.38 is: 106,251.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,101.50 : 70,743.38 = 70,743.38 : x
  2. Step 2: Convert to fraction form
    47,101.50/70,743.38 = 70,743.38/x
  3. Step 3: Cross multiply
    47,101.50x = 70,743.38 × 70,743.38
  4. Step 4: Simplify right side
    47,101.50x = 5,004,625,106.39
  5. Step 5: Solve for x
    x = 5,004,625,106.39/47,101.50
  6. Step 6: Final answer
    x = 106,251.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.