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Finding the Third Proportional to 37,985 and 81,489

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Solution

The third proportional to 37,985 and 81,489 is: 174,817.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,985 : 81,489 = 81,489 : x
  2. Step 2: Convert to fraction form
    37,985/81,489 = 81,489/x
  3. Step 3: Cross multiply
    37,985x = 81,489 × 81,489
  4. Step 4: Simplify right side
    37,985x = 6,640,457,121
  5. Step 5: Solve for x
    x = 6,640,457,121/37,985
  6. Step 6: Final answer
    x = 174,817.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.