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Finding the Third Proportional to 38,099 and 83,581

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Solution

The third proportional to 38,099 and 83,581 is: 183,358.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,099 : 83,581 = 83,581 : x
  2. Step 2: Convert to fraction form
    38,099/83,581 = 83,581/x
  3. Step 3: Cross multiply
    38,099x = 83,581 × 83,581
  4. Step 4: Simplify right side
    38,099x = 6,985,783,561
  5. Step 5: Solve for x
    x = 6,985,783,561/38,099
  6. Step 6: Final answer
    x = 183,358.71

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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.