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Finding the Third Proportional to 11,455 and 25,015

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Solution

The third proportional to 11,455 and 25,015 is: 54,626.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,455 : 25,015 = 25,015 : x
  2. Step 2: Convert to fraction form
    11,455/25,015 = 25,015/x
  3. Step 3: Cross multiply
    11,455x = 25,015 × 25,015
  4. Step 4: Simplify right side
    11,455x = 625,750,225
  5. Step 5: Solve for x
    x = 625,750,225/11,455
  6. Step 6: Final answer
    x = 54,626.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.