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Finding the Third Proportional to 23,408 and 38,460

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Solution

The third proportional to 23,408 and 38,460 is: 63,190.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,408 : 38,460 = 38,460 : x
  2. Step 2: Convert to fraction form
    23,408/38,460 = 38,460/x
  3. Step 3: Cross multiply
    23,408x = 38,460 × 38,460
  4. Step 4: Simplify right side
    23,408x = 1,479,171,600
  5. Step 5: Solve for x
    x = 1,479,171,600/23,408
  6. Step 6: Final answer
    x = 63,190.86

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.