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Finding the Third Proportional to 3,416 and 4,657

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Solution

The third proportional to 3,416 and 4,657 is: 6,348.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416 : 4,657 = 4,657 : x
  2. Step 2: Convert to fraction form
    3,416/4,657 = 4,657/x
  3. Step 3: Cross multiply
    3,416x = 4,657 × 4,657
  4. Step 4: Simplify right side
    3,416x = 21,687,649
  5. Step 5: Solve for x
    x = 21,687,649/3,416
  6. Step 6: Final answer
    x = 6,348.84

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.