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Finding the Third Proportional to 15,531.75 and 24,094.13

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Solution

The third proportional to 15,531.75 and 24,094.13 is: 37,376.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,531.75 : 24,094.13 = 24,094.13 : x
  2. Step 2: Convert to fraction form
    15,531.75/24,094.13 = 24,094.13/x
  3. Step 3: Cross multiply
    15,531.75x = 24,094.13 × 24,094.13
  4. Step 4: Simplify right side
    15,531.75x = 580,526,859.52
  5. Step 5: Solve for x
    x = 580,526,859.52/15,531.75
  6. Step 6: Final answer
    x = 37,376.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.