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Finding the Third Proportional to 12,089 and 17,113

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Solution

The third proportional to 12,089 and 17,113 is: 24,224.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,089 : 17,113 = 17,113 : x
  2. Step 2: Convert to fraction form
    12,089/17,113 = 17,113/x
  3. Step 3: Cross multiply
    12,089x = 17,113 × 17,113
  4. Step 4: Simplify right side
    12,089x = 292,854,769
  5. Step 5: Solve for x
    x = 292,854,769/12,089
  6. Step 6: Final answer
    x = 24,224.90

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.