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Finding the Third Proportional to 36,476 and 85,878

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Solution

The third proportional to 36,476 and 85,878 is: 202,188.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,476 : 85,878 = 85,878 : x
  2. Step 2: Convert to fraction form
    36,476/85,878 = 85,878/x
  3. Step 3: Cross multiply
    36,476x = 85,878 × 85,878
  4. Step 4: Simplify right side
    36,476x = 7,375,030,884
  5. Step 5: Solve for x
    x = 7,375,030,884/36,476
  6. Step 6: Final answer
    x = 202,188.59

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.