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Finding the Third Proportional to 9,416 and 15,692

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Solution

The third proportional to 9,416 and 15,692 is: 26,151.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416 : 15,692 = 15,692 : x
  2. Step 2: Convert to fraction form
    9,416/15,692 = 15,692/x
  3. Step 3: Cross multiply
    9,416x = 15,692 × 15,692
  4. Step 4: Simplify right side
    9,416x = 246,238,864
  5. Step 5: Solve for x
    x = 246,238,864/9,416
  6. Step 6: Final answer
    x = 26,151.11

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.