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Finding the Third Proportional to 3,470.34 and 5,418.14

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Solution

The third proportional to 3,470.34 and 5,418.14 is: 8,459.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.34 : 5,418.14 = 5,418.14 : x
  2. Step 2: Convert to fraction form
    3,470.34/5,418.14 = 5,418.14/x
  3. Step 3: Cross multiply
    3,470.34x = 5,418.14 × 5,418.14
  4. Step 4: Simplify right side
    3,470.34x = 29,356,247.83
  5. Step 5: Solve for x
    x = 29,356,247.83/3,470.34
  6. Step 6: Final answer
    x = 8,459.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.