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Finding the Third Proportional to 38,036 and 87,434

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Solution

The third proportional to 38,036 and 87,434 is: 200,986.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,036 : 87,434 = 87,434 : x
  2. Step 2: Convert to fraction form
    38,036/87,434 = 87,434/x
  3. Step 3: Cross multiply
    38,036x = 87,434 × 87,434
  4. Step 4: Simplify right side
    38,036x = 7,644,704,356
  5. Step 5: Solve for x
    x = 7,644,704,356/38,036
  6. Step 6: Final answer
    x = 200,986.02

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.