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Finding the Third Proportional to 38,202 and 83,676

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Solution

The third proportional to 38,202 and 83,676 is: 183,280.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,202 : 83,676 = 83,676 : x
  2. Step 2: Convert to fraction form
    38,202/83,676 = 83,676/x
  3. Step 3: Cross multiply
    38,202x = 83,676 × 83,676
  4. Step 4: Simplify right side
    38,202x = 7,001,672,976
  5. Step 5: Solve for x
    x = 7,001,672,976/38,202
  6. Step 6: Final answer
    x = 183,280.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.