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Finding the Third Proportional to 38,571 and 84,521

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Solution

The third proportional to 38,571 and 84,521 is: 185,211.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,571 : 84,521 = 84,521 : x
  2. Step 2: Convert to fraction form
    38,571/84,521 = 84,521/x
  3. Step 3: Cross multiply
    38,571x = 84,521 × 84,521
  4. Step 4: Simplify right side
    38,571x = 7,143,799,441
  5. Step 5: Solve for x
    x = 7,143,799,441/38,571
  6. Step 6: Final answer
    x = 185,211.67

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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.