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Finding the Third Proportional to 9,614 and 15,383

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Solution

The third proportional to 9,614 and 15,383 is: 24,613.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614 : 15,383 = 15,383 : x
  2. Step 2: Convert to fraction form
    9,614/15,383 = 15,383/x
  3. Step 3: Cross multiply
    9,614x = 15,383 × 15,383
  4. Step 4: Simplify right side
    9,614x = 236,636,689
  5. Step 5: Solve for x
    x = 236,636,689/9,614
  6. Step 6: Final answer
    x = 24,613.76

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.