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Finding the Third Proportional to 15,916.50 and 24,239.25

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Solution

The third proportional to 15,916.50 and 24,239.25 is: 36,913.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,916.50 : 24,239.25 = 24,239.25 : x
  2. Step 2: Convert to fraction form
    15,916.50/24,239.25 = 24,239.25/x
  3. Step 3: Cross multiply
    15,916.50x = 24,239.25 × 24,239.25
  4. Step 4: Simplify right side
    15,916.50x = 587,541,240.56
  5. Step 5: Solve for x
    x = 587,541,240.56/15,916.50
  6. Step 6: Final answer
    x = 36,913.97

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.