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Finding the Third Proportional to 32,740.13 and 71,476.88

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Solution

The third proportional to 32,740.13 and 71,476.88 is: 156,045.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,740.13 : 71,476.88 = 71,476.88 : x
  2. Step 2: Convert to fraction form
    32,740.13/71,476.88 = 71,476.88/x
  3. Step 3: Cross multiply
    32,740.13x = 71,476.88 × 71,476.88
  4. Step 4: Simplify right side
    32,740.13x = 5,108,943,659.77
  5. Step 5: Solve for x
    x = 5,108,943,659.77/32,740.13
  6. Step 6: Final answer
    x = 156,045.33

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.