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Finding the Third Proportional to 15,892 and 29,736

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Solution

The third proportional to 15,892 and 29,736 is: 55,639.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,892 : 29,736 = 29,736 : x
  2. Step 2: Convert to fraction form
    15,892/29,736 = 29,736/x
  3. Step 3: Cross multiply
    15,892x = 29,736 × 29,736
  4. Step 4: Simplify right side
    15,892x = 884,229,696
  5. Step 5: Solve for x
    x = 884,229,696/15,892
  6. Step 6: Final answer
    x = 55,639.93

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.