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Finding the Third Proportional to 9,734 and 14,613

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Solution

The third proportional to 9,734 and 14,613 is: 21,937.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,734 : 14,613 = 14,613 : x
  2. Step 2: Convert to fraction form
    9,734/14,613 = 14,613/x
  3. Step 3: Cross multiply
    9,734x = 14,613 × 14,613
  4. Step 4: Simplify right side
    9,734x = 213,539,769
  5. Step 5: Solve for x
    x = 213,539,769/9,734
  6. Step 6: Final answer
    x = 21,937.51

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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.