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Finding the Third Proportional to 15,722 and 22,736

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Solution

The third proportional to 15,722 and 22,736 is: 32,879.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,722 : 22,736 = 22,736 : x
  2. Step 2: Convert to fraction form
    15,722/22,736 = 22,736/x
  3. Step 3: Cross multiply
    15,722x = 22,736 × 22,736
  4. Step 4: Simplify right side
    15,722x = 516,925,696
  5. Step 5: Solve for x
    x = 516,925,696/15,722
  6. Step 6: Final answer
    x = 32,879.13

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.