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Finding the Third Proportional to 38,370 and 79,404

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Solution

The third proportional to 38,370 and 79,404 is: 164,320.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,370 : 79,404 = 79,404 : x
  2. Step 2: Convert to fraction form
    38,370/79,404 = 79,404/x
  3. Step 3: Cross multiply
    38,370x = 79,404 × 79,404
  4. Step 4: Simplify right side
    38,370x = 6,304,995,216
  5. Step 5: Solve for x
    x = 6,304,995,216/38,370
  6. Step 6: Final answer
    x = 164,320.96

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.