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Finding the Third Proportional to 37,776 and 81,408

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Solution

The third proportional to 37,776 and 81,408 is: 175,435.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,776 : 81,408 = 81,408 : x
  2. Step 2: Convert to fraction form
    37,776/81,408 = 81,408/x
  3. Step 3: Cross multiply
    37,776x = 81,408 × 81,408
  4. Step 4: Simplify right side
    37,776x = 6,627,262,464
  5. Step 5: Solve for x
    x = 6,627,262,464/37,776
  6. Step 6: Final answer
    x = 175,435.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.