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Finding the Third Proportional to 40,780.13 and 71,820

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Solution

The third proportional to 40,780.13 and 71,820 is: 126,485.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,780.13 : 71,820 = 71,820 : x
  2. Step 2: Convert to fraction form
    40,780.13/71,820 = 71,820/x
  3. Step 3: Cross multiply
    40,780.13x = 71,820 × 71,820
  4. Step 4: Simplify right side
    40,780.13x = 5,158,112,400
  5. Step 5: Solve for x
    x = 5,158,112,400/40,780.13
  6. Step 6: Final answer
    x = 126,485.94

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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.