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Finding the Third Proportional to 38,394 and 83,076

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Solution

The third proportional to 38,394 and 83,076 is: 179,757.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,394 : 83,076 = 83,076 : x
  2. Step 2: Convert to fraction form
    38,394/83,076 = 83,076/x
  3. Step 3: Cross multiply
    38,394x = 83,076 × 83,076
  4. Step 4: Simplify right side
    38,394x = 6,901,621,776
  5. Step 5: Solve for x
    x = 6,901,621,776/38,394
  6. Step 6: Final answer
    x = 179,757.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.