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Finding the Third Proportional to 37,610.13 and 81,097.88

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Solution

The third proportional to 37,610.13 and 81,097.88 is: 174,869.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,610.13 : 81,097.88 = 81,097.88 : x
  2. Step 2: Convert to fraction form
    37,610.13/81,097.88 = 81,097.88/x
  3. Step 3: Cross multiply
    37,610.13x = 81,097.88 × 81,097.88
  4. Step 4: Simplify right side
    37,610.13x = 6,576,865,329.52
  5. Step 5: Solve for x
    x = 6,576,865,329.52/37,610.13
  6. Step 6: Final answer
    x = 174,869.54

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.