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Finding the Third Proportional to 3,715 and 4,957

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Solution

The third proportional to 3,715 and 4,957 is: 6,614.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,715 : 4,957 = 4,957 : x
  2. Step 2: Convert to fraction form
    3,715/4,957 = 4,957/x
  3. Step 3: Cross multiply
    3,715x = 4,957 × 4,957
  4. Step 4: Simplify right side
    3,715x = 24,571,849
  5. Step 5: Solve for x
    x = 24,571,849/3,715
  6. Step 6: Final answer
    x = 6,614.23

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.