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Finding the Third Proportional to 17,535.50 and 24,665.25

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Solution

The third proportional to 17,535.50 and 24,665.25 is: 34,693.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,535.50 : 24,665.25 = 24,665.25 : x
  2. Step 2: Convert to fraction form
    17,535.50/24,665.25 = 24,665.25/x
  3. Step 3: Cross multiply
    17,535.50x = 24,665.25 × 24,665.25
  4. Step 4: Simplify right side
    17,535.50x = 608,374,557.56
  5. Step 5: Solve for x
    x = 608,374,557.56/17,535.50
  6. Step 6: Final answer
    x = 34,693.88

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.