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Finding the Third Proportional to 10,463.25 and 15,513.88

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Solution

The third proportional to 10,463.25 and 15,513.88 is: 23,002.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.25 : 15,513.88 = 15,513.88 : x
  2. Step 2: Convert to fraction form
    10,463.25/15,513.88 = 15,513.88/x
  3. Step 3: Cross multiply
    10,463.25x = 15,513.88 × 15,513.88
  4. Step 4: Simplify right side
    10,463.25x = 240,680,317.52
  5. Step 5: Solve for x
    x = 240,680,317.52/10,463.25
  6. Step 6: Final answer
    x = 23,002.44

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.