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Finding the Third Proportional to 47,233.13 and 71,305.31

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Solution

The third proportional to 47,233.13 and 71,305.31 is: 107,645.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,233.13 : 71,305.31 = 71,305.31 : x
  2. Step 2: Convert to fraction form
    47,233.13/71,305.31 = 71,305.31/x
  3. Step 3: Cross multiply
    47,233.13x = 71,305.31 × 71,305.31
  4. Step 4: Simplify right side
    47,233.13x = 5,084,447,590.72
  5. Step 5: Solve for x
    x = 5,084,447,590.72/47,233.13
  6. Step 6: Final answer
    x = 107,645.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.