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Finding the Third Proportional to 3,416 and 6,508

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Solution

The third proportional to 3,416 and 6,508 is: 12,398.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416 : 6,508 = 6,508 : x
  2. Step 2: Convert to fraction form
    3,416/6,508 = 6,508/x
  3. Step 3: Cross multiply
    3,416x = 6,508 × 6,508
  4. Step 4: Simplify right side
    3,416x = 42,354,064
  5. Step 5: Solve for x
    x = 42,354,064/3,416
  6. Step 6: Final answer
    x = 12,398.73

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.