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Finding the Third Proportional to 38,247 and 83,882

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Solution

The third proportional to 38,247 and 83,882 is: 183,967.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,247 : 83,882 = 83,882 : x
  2. Step 2: Convert to fraction form
    38,247/83,882 = 83,882/x
  3. Step 3: Cross multiply
    38,247x = 83,882 × 83,882
  4. Step 4: Simplify right side
    38,247x = 7,036,189,924
  5. Step 5: Solve for x
    x = 7,036,189,924/38,247
  6. Step 6: Final answer
    x = 183,967.11

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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.