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Finding the Third Proportional to 15,892 and 36,947

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Solution

The third proportional to 15,892 and 36,947 is: 85,897.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,892 : 36,947 = 36,947 : x
  2. Step 2: Convert to fraction form
    15,892/36,947 = 36,947/x
  3. Step 3: Cross multiply
    15,892x = 36,947 × 36,947
  4. Step 4: Simplify right side
    15,892x = 1,365,080,809
  5. Step 5: Solve for x
    x = 1,365,080,809/15,892
  6. Step 6: Final answer
    x = 85,897.36

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.