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Finding the Third Proportional to 37,536 and 81,562

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Solution

The third proportional to 37,536 and 81,562 is: 177,226.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,536 : 81,562 = 81,562 : x
  2. Step 2: Convert to fraction form
    37,536/81,562 = 81,562/x
  3. Step 3: Cross multiply
    37,536x = 81,562 × 81,562
  4. Step 4: Simplify right side
    37,536x = 6,652,359,844
  5. Step 5: Solve for x
    x = 6,652,359,844/37,536
  6. Step 6: Final answer
    x = 177,226.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.