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Finding the Third Proportional to 3,135.38 and 7,401.06

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Solution

The third proportional to 3,135.38 and 7,401.06 is: 17,470.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.38 : 7,401.06 = 7,401.06 : x
  2. Step 2: Convert to fraction form
    3,135.38/7,401.06 = 7,401.06/x
  3. Step 3: Cross multiply
    3,135.38x = 7,401.06 × 7,401.06
  4. Step 4: Simplify right side
    3,135.38x = 54,775,726.13
  5. Step 5: Solve for x
    x = 54,775,726.13/3,135.38
  6. Step 6: Final answer
    x = 17,470.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.