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Finding the Third Proportional to 61,489.13 and 81,499.50

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Solution

The third proportional to 61,489.13 and 81,499.50 is: 108,021.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,489.13 : 81,499.50 = 81,499.50 : x
  2. Step 2: Convert to fraction form
    61,489.13/81,499.50 = 81,499.50/x
  3. Step 3: Cross multiply
    61,489.13x = 81,499.50 × 81,499.50
  4. Step 4: Simplify right side
    61,489.13x = 6,642,168,500.25
  5. Step 5: Solve for x
    x = 6,642,168,500.25/61,489.13
  6. Step 6: Final answer
    x = 108,021.84

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.