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Finding the Third Proportional to 3,755 and 7,582

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Solution

The third proportional to 3,755 and 7,582 is: 15,309.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755 : 7,582 = 7,582 : x
  2. Step 2: Convert to fraction form
    3,755/7,582 = 7,582/x
  3. Step 3: Cross multiply
    3,755x = 7,582 × 7,582
  4. Step 4: Simplify right side
    3,755x = 57,486,724
  5. Step 5: Solve for x
    x = 57,486,724/3,755
  6. Step 6: Final answer
    x = 15,309.38

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.