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Finding the Third Proportional to 37,629 and 82,937.25

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Solution

The third proportional to 37,629 and 82,937.25 is: 182,800.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,629 : 82,937.25 = 82,937.25 : x
  2. Step 2: Convert to fraction form
    37,629/82,937.25 = 82,937.25/x
  3. Step 3: Cross multiply
    37,629x = 82,937.25 × 82,937.25
  4. Step 4: Simplify right side
    37,629x = 6,878,587,437.56
  5. Step 5: Solve for x
    x = 6,878,587,437.56/37,629
  6. Step 6: Final answer
    x = 182,800.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.