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Finding the Third Proportional to 37,791 and 82,489.88

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Solution

The third proportional to 37,791 and 82,489.88 is: 180,058.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,791 : 82,489.88 = 82,489.88 : x
  2. Step 2: Convert to fraction form
    37,791/82,489.88 = 82,489.88/x
  3. Step 3: Cross multiply
    37,791x = 82,489.88 × 82,489.88
  4. Step 4: Simplify right side
    37,791x = 6,804,579,477.52
  5. Step 5: Solve for x
    x = 6,804,579,477.52/37,791
  6. Step 6: Final answer
    x = 180,058.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.