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Finding the Third Proportional to 38,522 and 84,595

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Solution

The third proportional to 38,522 and 84,595 is: 185,772.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,522 : 84,595 = 84,595 : x
  2. Step 2: Convert to fraction form
    38,522/84,595 = 84,595/x
  3. Step 3: Cross multiply
    38,522x = 84,595 × 84,595
  4. Step 4: Simplify right side
    38,522x = 7,156,314,025
  5. Step 5: Solve for x
    x = 7,156,314,025/38,522
  6. Step 6: Final answer
    x = 185,772.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.