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Finding the Third Proportional to 5,657 and 13,137

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Solution

The third proportional to 5,657 and 13,137 is: 30,507.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657 : 13,137 = 13,137 : x
  2. Step 2: Convert to fraction form
    5,657/13,137 = 13,137/x
  3. Step 3: Cross multiply
    5,657x = 13,137 × 13,137
  4. Step 4: Simplify right side
    5,657x = 172,580,769
  5. Step 5: Solve for x
    x = 172,580,769/5,657
  6. Step 6: Final answer
    x = 30,507.47

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.