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Finding the Third Proportional to 10,212.75 and 15,422.06

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Solution

The third proportional to 10,212.75 and 15,422.06 is: 23,288.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,212.75 : 15,422.06 = 15,422.06 : x
  2. Step 2: Convert to fraction form
    10,212.75/15,422.06 = 15,422.06/x
  3. Step 3: Cross multiply
    10,212.75x = 15,422.06 × 15,422.06
  4. Step 4: Simplify right side
    10,212.75x = 237,840,011.75
  5. Step 5: Solve for x
    x = 237,840,011.75/10,212.75
  6. Step 6: Final answer
    x = 23,288.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.