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Finding the Third Proportional to 23,001 and 34,683

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Solution

The third proportional to 23,001 and 34,683 is: 52,298.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,001 : 34,683 = 34,683 : x
  2. Step 2: Convert to fraction form
    23,001/34,683 = 34,683/x
  3. Step 3: Cross multiply
    23,001x = 34,683 × 34,683
  4. Step 4: Simplify right side
    23,001x = 1,202,910,489
  5. Step 5: Solve for x
    x = 1,202,910,489/23,001
  6. Step 6: Final answer
    x = 52,298.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.