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Finding the Third Proportional to 8,464 and 16,120

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Solution

The third proportional to 8,464 and 16,120 is: 30,701.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464 : 16,120 = 16,120 : x
  2. Step 2: Convert to fraction form
    8,464/16,120 = 16,120/x
  3. Step 3: Cross multiply
    8,464x = 16,120 × 16,120
  4. Step 4: Simplify right side
    8,464x = 259,854,400
  5. Step 5: Solve for x
    x = 259,854,400/8,464
  6. Step 6: Final answer
    x = 30,701.13

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.