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Finding the Third Proportional to 38,084.16 and 82,524.23

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Solution

The third proportional to 38,084.16 and 82,524.23 is: 178,821.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,084.16 : 82,524.23 = 82,524.23 : x
  2. Step 2: Convert to fraction form
    38,084.16/82,524.23 = 82,524.23/x
  3. Step 3: Cross multiply
    38,084.16x = 82,524.23 × 82,524.23
  4. Step 4: Simplify right side
    38,084.16x = 6,810,249,259.18
  5. Step 5: Solve for x
    x = 6,810,249,259.18/38,084.16
  6. Step 6: Final answer
    x = 178,821.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.