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Finding the Third Proportional to 38,423 and 83,853

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Solution

The third proportional to 38,423 and 83,853 is: 182,997.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,423 : 83,853 = 83,853 : x
  2. Step 2: Convert to fraction form
    38,423/83,853 = 83,853/x
  3. Step 3: Cross multiply
    38,423x = 83,853 × 83,853
  4. Step 4: Simplify right side
    38,423x = 7,031,325,609
  5. Step 5: Solve for x
    x = 7,031,325,609/38,423
  6. Step 6: Final answer
    x = 182,997.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.