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Finding the Third Proportional to 27,408 and 41,409

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Solution

The third proportional to 27,408 and 41,409 is: 62,562.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,408 : 41,409 = 41,409 : x
  2. Step 2: Convert to fraction form
    27,408/41,409 = 41,409/x
  3. Step 3: Cross multiply
    27,408x = 41,409 × 41,409
  4. Step 4: Simplify right side
    27,408x = 1,714,705,281
  5. Step 5: Solve for x
    x = 1,714,705,281/27,408
  6. Step 6: Final answer
    x = 62,562.22

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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.