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Finding the Third Proportional to 32,713.88 and 71,863.45

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Solution

The third proportional to 32,713.88 and 71,863.45 is: 157,864.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,713.88 : 71,863.45 = 71,863.45 : x
  2. Step 2: Convert to fraction form
    32,713.88/71,863.45 = 71,863.45/x
  3. Step 3: Cross multiply
    32,713.88x = 71,863.45 × 71,863.45
  4. Step 4: Simplify right side
    32,713.88x = 5,164,355,895.05
  5. Step 5: Solve for x
    x = 5,164,355,895.05/32,713.88
  6. Step 6: Final answer
    x = 157,864.39

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.