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Finding the Third Proportional to 5,416 and 9,919

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Solution

The third proportional to 5,416 and 9,919 is: 18,165.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416 : 9,919 = 9,919 : x
  2. Step 2: Convert to fraction form
    5,416/9,919 = 9,919/x
  3. Step 3: Cross multiply
    5,416x = 9,919 × 9,919
  4. Step 4: Simplify right side
    5,416x = 98,386,561
  5. Step 5: Solve for x
    x = 98,386,561/5,416
  6. Step 6: Final answer
    x = 18,165.91

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.