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Finding the Third Proportional to 17,689.50 and 24,036.75

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Solution

The third proportional to 17,689.50 and 24,036.75 is: 32,661.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,689.50 : 24,036.75 = 24,036.75 : x
  2. Step 2: Convert to fraction form
    17,689.50/24,036.75 = 24,036.75/x
  3. Step 3: Cross multiply
    17,689.50x = 24,036.75 × 24,036.75
  4. Step 4: Simplify right side
    17,689.50x = 577,765,350.56
  5. Step 5: Solve for x
    x = 577,765,350.56/17,689.50
  6. Step 6: Final answer
    x = 32,661.49

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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.