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Finding the Third Proportional to 10,963.13 and 16,445.25

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Solution

The third proportional to 10,963.13 and 16,445.25 is: 24,668.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,963.13 : 16,445.25 = 16,445.25 : x
  2. Step 2: Convert to fraction form
    10,963.13/16,445.25 = 16,445.25/x
  3. Step 3: Cross multiply
    10,963.13x = 16,445.25 × 16,445.25
  4. Step 4: Simplify right side
    10,963.13x = 270,446,247.56
  5. Step 5: Solve for x
    x = 270,446,247.56/10,963.13
  6. Step 6: Final answer
    x = 24,668.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.