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Finding the Third Proportional to 45,408 and 67,464

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Solution

The third proportional to 45,408 and 67,464 is: 100,233.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,408 : 67,464 = 67,464 : x
  2. Step 2: Convert to fraction form
    45,408/67,464 = 67,464/x
  3. Step 3: Cross multiply
    45,408x = 67,464 × 67,464
  4. Step 4: Simplify right side
    45,408x = 4,551,391,296
  5. Step 5: Solve for x
    x = 4,551,391,296/45,408
  6. Step 6: Final answer
    x = 100,233.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.