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Finding the Third Proportional to 17,531.44 and 24,117.75

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Solution

The third proportional to 17,531.44 and 24,117.75 is: 33,178.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,531.44 : 24,117.75 = 24,117.75 : x
  2. Step 2: Convert to fraction form
    17,531.44/24,117.75 = 24,117.75/x
  3. Step 3: Cross multiply
    17,531.44x = 24,117.75 × 24,117.75
  4. Step 4: Simplify right side
    17,531.44x = 581,665,865.06
  5. Step 5: Solve for x
    x = 581,665,865.06/17,531.44
  6. Step 6: Final answer
    x = 33,178.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.