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Finding the Third Proportional to 38,266 and 58,620

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Solution

The third proportional to 38,266 and 58,620 is: 89,800.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,266 : 58,620 = 58,620 : x
  2. Step 2: Convert to fraction form
    38,266/58,620 = 58,620/x
  3. Step 3: Cross multiply
    38,266x = 58,620 × 58,620
  4. Step 4: Simplify right side
    38,266x = 3,436,304,400
  5. Step 5: Solve for x
    x = 3,436,304,400/38,266
  6. Step 6: Final answer
    x = 89,800.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.