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Finding the Third Proportional to 25,098 and 54,568.50

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Solution

The third proportional to 25,098 and 54,568.50 is: 118,643.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,098 : 54,568.50 = 54,568.50 : x
  2. Step 2: Convert to fraction form
    25,098/54,568.50 = 54,568.50/x
  3. Step 3: Cross multiply
    25,098x = 54,568.50 × 54,568.50
  4. Step 4: Simplify right side
    25,098x = 2,977,721,192.25
  5. Step 5: Solve for x
    x = 2,977,721,192.25/25,098
  6. Step 6: Final answer
    x = 118,643.76

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.