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Finding the Third Proportional to 5,657 and 12,001

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Solution

The third proportional to 5,657 and 12,001 is: 25,459.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657 : 12,001 = 12,001 : x
  2. Step 2: Convert to fraction form
    5,657/12,001 = 12,001/x
  3. Step 3: Cross multiply
    5,657x = 12,001 × 12,001
  4. Step 4: Simplify right side
    5,657x = 144,024,001
  5. Step 5: Solve for x
    x = 144,024,001/5,657
  6. Step 6: Final answer
    x = 25,459.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.