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Finding the Third Proportional to 15,862 and 35,974

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Solution

The third proportional to 15,862 and 35,974 is: 81,586.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,862 : 35,974 = 35,974 : x
  2. Step 2: Convert to fraction form
    15,862/35,974 = 35,974/x
  3. Step 3: Cross multiply
    15,862x = 35,974 × 35,974
  4. Step 4: Simplify right side
    15,862x = 1,294,128,676
  5. Step 5: Solve for x
    x = 1,294,128,676/15,862
  6. Step 6: Final answer
    x = 81,586.73

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.