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Finding the Third Proportional to 37,402.88 and 81,163.88

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Solution

The third proportional to 37,402.88 and 81,163.88 is: 176,124.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,402.88 : 81,163.88 = 81,163.88 : x
  2. Step 2: Convert to fraction form
    37,402.88/81,163.88 = 81,163.88/x
  3. Step 3: Cross multiply
    37,402.88x = 81,163.88 × 81,163.88
  4. Step 4: Simplify right side
    37,402.88x = 6,587,574,605.02
  5. Step 5: Solve for x
    x = 6,587,574,605.02/37,402.88
  6. Step 6: Final answer
    x = 176,124.82

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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.