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Finding the Third Proportional to 3,348.84 and 7,142.52

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Solution

The third proportional to 3,348.84 and 7,142.52 is: 15,233.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,348.84 : 7,142.52 = 7,142.52 : x
  2. Step 2: Convert to fraction form
    3,348.84/7,142.52 = 7,142.52/x
  3. Step 3: Cross multiply
    3,348.84x = 7,142.52 × 7,142.52
  4. Step 4: Simplify right side
    3,348.84x = 51,015,522.48
  5. Step 5: Solve for x
    x = 51,015,522.48/3,348.84
  6. Step 6: Final answer
    x = 15,233.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.