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Finding the Third Proportional to 47,308.50 and 71,164.13

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Solution

The third proportional to 47,308.50 and 71,164.13 is: 107,049.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,308.50 : 71,164.13 = 71,164.13 : x
  2. Step 2: Convert to fraction form
    47,308.50/71,164.13 = 71,164.13/x
  3. Step 3: Cross multiply
    47,308.50x = 71,164.13 × 71,164.13
  4. Step 4: Simplify right side
    47,308.50x = 5,064,332,687.02
  5. Step 5: Solve for x
    x = 5,064,332,687.02/47,308.50
  6. Step 6: Final answer
    x = 107,049.11

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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.