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Finding the Third Proportional to 38,438 and 83,436

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Solution

The third proportional to 38,438 and 83,436 is: 181,111.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,438 : 83,436 = 83,436 : x
  2. Step 2: Convert to fraction form
    38,438/83,436 = 83,436/x
  3. Step 3: Cross multiply
    38,438x = 83,436 × 83,436
  4. Step 4: Simplify right side
    38,438x = 6,961,566,096
  5. Step 5: Solve for x
    x = 6,961,566,096/38,438
  6. Step 6: Final answer
    x = 181,111.56

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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.