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Finding the Third Proportional to 37,708 and 81,970

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Solution

The third proportional to 37,708 and 81,970 is: 178,187.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,708 : 81,970 = 81,970 : x
  2. Step 2: Convert to fraction form
    37,708/81,970 = 81,970/x
  3. Step 3: Cross multiply
    37,708x = 81,970 × 81,970
  4. Step 4: Simplify right side
    37,708x = 6,719,080,900
  5. Step 5: Solve for x
    x = 6,719,080,900/37,708
  6. Step 6: Final answer
    x = 178,187.15

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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.