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Finding the Third Proportional to 37,537 and 81,563

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Solution

The third proportional to 37,537 and 81,563 is: 177,225.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,537 : 81,563 = 81,563 : x
  2. Step 2: Convert to fraction form
    37,537/81,563 = 81,563/x
  3. Step 3: Cross multiply
    37,537x = 81,563 × 81,563
  4. Step 4: Simplify right side
    37,537x = 6,652,522,969
  5. Step 5: Solve for x
    x = 6,652,522,969/37,537
  6. Step 6: Final answer
    x = 177,225.75

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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.