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Finding the Third Proportional to 2,657 and 5,719

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Solution

The third proportional to 2,657 and 5,719 is: 12,309.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657 : 5,719 = 5,719 : x
  2. Step 2: Convert to fraction form
    2,657/5,719 = 5,719/x
  3. Step 3: Cross multiply
    2,657x = 5,719 × 5,719
  4. Step 4: Simplify right side
    2,657x = 32,706,961
  5. Step 5: Solve for x
    x = 32,706,961/2,657
  6. Step 6: Final answer
    x = 12,309.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.