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Finding the Third Proportional to 9,634 and 15,468

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Solution

The third proportional to 9,634 and 15,468 is: 24,834.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634 : 15,468 = 15,468 : x
  2. Step 2: Convert to fraction form
    9,634/15,468 = 15,468/x
  3. Step 3: Cross multiply
    9,634x = 15,468 × 15,468
  4. Step 4: Simplify right side
    9,634x = 239,259,024
  5. Step 5: Solve for x
    x = 239,259,024/9,634
  6. Step 6: Final answer
    x = 24,834.86

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.