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Finding the Third Proportional to 38,523 and 82,878

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Solution

The third proportional to 38,523 and 82,878 is: 178,302.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,523 : 82,878 = 82,878 : x
  2. Step 2: Convert to fraction form
    38,523/82,878 = 82,878/x
  3. Step 3: Cross multiply
    38,523x = 82,878 × 82,878
  4. Step 4: Simplify right side
    38,523x = 6,868,762,884
  5. Step 5: Solve for x
    x = 6,868,762,884/38,523
  6. Step 6: Final answer
    x = 178,302.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.