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Finding the Third Proportional to 9,722.25 and 15,012.75

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Solution

The third proportional to 9,722.25 and 15,012.75 is: 23,182.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.25 : 15,012.75 = 15,012.75 : x
  2. Step 2: Convert to fraction form
    9,722.25/15,012.75 = 15,012.75/x
  3. Step 3: Cross multiply
    9,722.25x = 15,012.75 × 15,012.75
  4. Step 4: Simplify right side
    9,722.25x = 225,382,662.56
  5. Step 5: Solve for x
    x = 225,382,662.56/9,722.25
  6. Step 6: Final answer
    x = 23,182.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.