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Finding the Third Proportional to 15,856.50 and 22,169.25

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Solution

The third proportional to 15,856.50 and 22,169.25 is: 30,995.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,856.50 : 22,169.25 = 22,169.25 : x
  2. Step 2: Convert to fraction form
    15,856.50/22,169.25 = 22,169.25/x
  3. Step 3: Cross multiply
    15,856.50x = 22,169.25 × 22,169.25
  4. Step 4: Simplify right side
    15,856.50x = 491,475,645.56
  5. Step 5: Solve for x
    x = 491,475,645.56/15,856.50
  6. Step 6: Final answer
    x = 30,995.22

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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.