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Finding the Third Proportional to 38,650 and 84,020

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Solution

The third proportional to 38,650 and 84,020 is: 182,648.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,650 : 84,020 = 84,020 : x
  2. Step 2: Convert to fraction form
    38,650/84,020 = 84,020/x
  3. Step 3: Cross multiply
    38,650x = 84,020 × 84,020
  4. Step 4: Simplify right side
    38,650x = 7,059,360,400
  5. Step 5: Solve for x
    x = 7,059,360,400/38,650
  6. Step 6: Final answer
    x = 182,648.39

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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.