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Finding the Third Proportional to 7,476 and 15,727

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Solution

The third proportional to 7,476 and 15,727 is: 33,084.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,476 : 15,727 = 15,727 : x
  2. Step 2: Convert to fraction form
    7,476/15,727 = 15,727/x
  3. Step 3: Cross multiply
    7,476x = 15,727 × 15,727
  4. Step 4: Simplify right side
    7,476x = 247,338,529
  5. Step 5: Solve for x
    x = 247,338,529/7,476
  6. Step 6: Final answer
    x = 33,084.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.