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Finding the Third Proportional to 38,135.81 and 77,348.04

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Solution

The third proportional to 38,135.81 and 77,348.04 is: 156,879.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,135.81 : 77,348.04 = 77,348.04 : x
  2. Step 2: Convert to fraction form
    38,135.81/77,348.04 = 77,348.04/x
  3. Step 3: Cross multiply
    38,135.81x = 77,348.04 × 77,348.04
  4. Step 4: Simplify right side
    38,135.81x = 5,982,719,146.81
  5. Step 5: Solve for x
    x = 5,982,719,146.81/38,135.81
  6. Step 6: Final answer
    x = 156,879.29

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.