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Finding the Third Proportional to 38,034 and 81,900

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Solution

The third proportional to 38,034 and 81,900 is: 176,358.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,034 : 81,900 = 81,900 : x
  2. Step 2: Convert to fraction form
    38,034/81,900 = 81,900/x
  3. Step 3: Cross multiply
    38,034x = 81,900 × 81,900
  4. Step 4: Simplify right side
    38,034x = 6,707,610,000
  5. Step 5: Solve for x
    x = 6,707,610,000/38,034
  6. Step 6: Final answer
    x = 176,358.26

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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.