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Finding the Third Proportional to 14,860 and 35,876

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Solution

The third proportional to 14,860 and 35,876 is: 86,614.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,860 : 35,876 = 35,876 : x
  2. Step 2: Convert to fraction form
    14,860/35,876 = 35,876/x
  3. Step 3: Cross multiply
    14,860x = 35,876 × 35,876
  4. Step 4: Simplify right side
    14,860x = 1,287,087,376
  5. Step 5: Solve for x
    x = 1,287,087,376/14,860
  6. Step 6: Final answer
    x = 86,614.22

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.