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Finding the Third Proportional to 7,015 and 15,413

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Solution

The third proportional to 7,015 and 15,413 is: 33,864.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,015 : 15,413 = 15,413 : x
  2. Step 2: Convert to fraction form
    7,015/15,413 = 15,413/x
  3. Step 3: Cross multiply
    7,015x = 15,413 × 15,413
  4. Step 4: Simplify right side
    7,015x = 237,560,569
  5. Step 5: Solve for x
    x = 237,560,569/7,015
  6. Step 6: Final answer
    x = 33,864.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.