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Finding the Third Proportional to 15,963.75 and 24,167.53

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Solution

The third proportional to 15,963.75 and 24,167.53 is: 36,587.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,963.75 : 24,167.53 = 24,167.53 : x
  2. Step 2: Convert to fraction form
    15,963.75/24,167.53 = 24,167.53/x
  3. Step 3: Cross multiply
    15,963.75x = 24,167.53 × 24,167.53
  4. Step 4: Simplify right side
    15,963.75x = 584,069,566.72
  5. Step 5: Solve for x
    x = 584,069,566.72/15,963.75
  6. Step 6: Final answer
    x = 36,587.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.