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Finding the Third Proportional to 3,470.34 and 7,327.97

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Solution

The third proportional to 3,470.34 and 7,327.97 is: 15,473.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.34 : 7,327.97 = 7,327.97 : x
  2. Step 2: Convert to fraction form
    3,470.34/7,327.97 = 7,327.97/x
  3. Step 3: Cross multiply
    3,470.34x = 7,327.97 × 7,327.97
  4. Step 4: Simplify right side
    3,470.34x = 53,699,126.00
  5. Step 5: Solve for x
    x = 53,699,126.00/3,470.34
  6. Step 6: Final answer
    x = 15,473.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.