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Finding the Third Proportional to 27,241 and 64,408

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Solution

The third proportional to 27,241 and 64,408 is: 152,284.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,241 : 64,408 = 64,408 : x
  2. Step 2: Convert to fraction form
    27,241/64,408 = 64,408/x
  3. Step 3: Cross multiply
    27,241x = 64,408 × 64,408
  4. Step 4: Simplify right side
    27,241x = 4,148,390,464
  5. Step 5: Solve for x
    x = 4,148,390,464/27,241
  6. Step 6: Final answer
    x = 152,284.81

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.