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Finding the Third Proportional to 5,657 and 11,713

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Solution

The third proportional to 5,657 and 11,713 is: 24,252.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657 : 11,713 = 11,713 : x
  2. Step 2: Convert to fraction form
    5,657/11,713 = 11,713/x
  3. Step 3: Cross multiply
    5,657x = 11,713 × 11,713
  4. Step 4: Simplify right side
    5,657x = 137,194,369
  5. Step 5: Solve for x
    x = 137,194,369/5,657
  6. Step 6: Final answer
    x = 24,252.14

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.