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Finding the Third Proportional to 47,472.33 and 71,362.27

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Solution

The third proportional to 47,472.33 and 71,362.27 is: 107,274.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,472.33 : 71,362.27 = 71,362.27 : x
  2. Step 2: Convert to fraction form
    47,472.33/71,362.27 = 71,362.27/x
  3. Step 3: Cross multiply
    47,472.33x = 71,362.27 × 71,362.27
  4. Step 4: Simplify right side
    47,472.33x = 5,092,572,955.13
  5. Step 5: Solve for x
    x = 5,092,572,955.13/47,472.33
  6. Step 6: Final answer
    x = 107,274.56

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