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Finding the Third Proportional to 3,348.84 and 5,175.14

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Solution

The third proportional to 3,348.84 and 5,175.14 is: 7,997.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,348.84 : 5,175.14 = 5,175.14 : x
  2. Step 2: Convert to fraction form
    3,348.84/5,175.14 = 5,175.14/x
  3. Step 3: Cross multiply
    3,348.84x = 5,175.14 × 5,175.14
  4. Step 4: Simplify right side
    3,348.84x = 26,782,080.49
  5. Step 5: Solve for x
    x = 26,782,080.49/3,348.84
  6. Step 6: Final answer
    x = 7,997.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.