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Finding the Third Proportional to 10,781.44 and 16,366.64

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Solution

The third proportional to 10,781.44 and 16,366.64 is: 24,845.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,781.44 : 16,366.64 = 16,366.64 : x
  2. Step 2: Convert to fraction form
    10,781.44/16,366.64 = 16,366.64/x
  3. Step 3: Cross multiply
    10,781.44x = 16,366.64 × 16,366.64
  4. Step 4: Simplify right side
    10,781.44x = 267,866,925.35
  5. Step 5: Solve for x
    x = 267,866,925.35/10,781.44
  6. Step 6: Final answer
    x = 24,845.20

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Why These Related Problems?

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