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Finding the Third Proportional to 45,456.19 and 61,987.78

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Solution

The third proportional to 45,456.19 and 61,987.78 is: 84,531.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,456.19 : 61,987.78 = 61,987.78 : x
  2. Step 2: Convert to fraction form
    45,456.19/61,987.78 = 61,987.78/x
  3. Step 3: Cross multiply
    45,456.19x = 61,987.78 × 61,987.78
  4. Step 4: Simplify right side
    45,456.19x = 3,842,485,024.30
  5. Step 5: Solve for x
    x = 3,842,485,024.30/45,456.19
  6. Step 6: Final answer
    x = 84,531.62

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.