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Finding the Third Proportional to 22,497.75 and 25,535.25

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Solution

The third proportional to 22,497.75 and 25,535.25 is: 28,982.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,497.75 : 25,535.25 = 25,535.25 : x
  2. Step 2: Convert to fraction form
    22,497.75/25,535.25 = 25,535.25/x
  3. Step 3: Cross multiply
    22,497.75x = 25,535.25 × 25,535.25
  4. Step 4: Simplify right side
    22,497.75x = 652,048,992.56
  5. Step 5: Solve for x
    x = 652,048,992.56/22,497.75
  6. Step 6: Final answer
    x = 28,982.85

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.