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Finding the Third Proportional to 27,444 and 42,408

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Solution

The third proportional to 27,444 and 42,408 is: 65,531.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,444 : 42,408 = 42,408 : x
  2. Step 2: Convert to fraction form
    27,444/42,408 = 42,408/x
  3. Step 3: Cross multiply
    27,444x = 42,408 × 42,408
  4. Step 4: Simplify right side
    27,444x = 1,798,438,464
  5. Step 5: Solve for x
    x = 1,798,438,464/27,444
  6. Step 6: Final answer
    x = 65,531.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.