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Finding the Third Proportional to 15,744 and 22,011.75

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Solution

The third proportional to 15,744 and 22,011.75 is: 30,774.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,744 : 22,011.75 = 22,011.75 : x
  2. Step 2: Convert to fraction form
    15,744/22,011.75 = 22,011.75/x
  3. Step 3: Cross multiply
    15,744x = 22,011.75 × 22,011.75
  4. Step 4: Simplify right side
    15,744x = 484,517,138.06
  5. Step 5: Solve for x
    x = 484,517,138.06/15,744
  6. Step 6: Final answer
    x = 30,774.72

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.