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Finding the Third Proportional to 11,562.75 and 25,282.13

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Solution

The third proportional to 11,562.75 and 25,282.13 is: 55,279.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,562.75 : 25,282.13 = 25,282.13 : x
  2. Step 2: Convert to fraction form
    11,562.75/25,282.13 = 25,282.13/x
  3. Step 3: Cross multiply
    11,562.75x = 25,282.13 × 25,282.13
  4. Step 4: Simplify right side
    11,562.75x = 639,185,844.52
  5. Step 5: Solve for x
    x = 639,185,844.52/11,562.75
  6. Step 6: Final answer
    x = 55,279.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.