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Finding the Third Proportional to 15,864.75 and 22,182.75

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Solution

The third proportional to 15,864.75 and 22,182.75 is: 31,016.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,864.75 : 22,182.75 = 22,182.75 : x
  2. Step 2: Convert to fraction form
    15,864.75/22,182.75 = 22,182.75/x
  3. Step 3: Cross multiply
    15,864.75x = 22,182.75 × 22,182.75
  4. Step 4: Simplify right side
    15,864.75x = 492,074,397.56
  5. Step 5: Solve for x
    x = 492,074,397.56/15,864.75
  6. Step 6: Final answer
    x = 31,016.84

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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.