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Finding the Third Proportional to 3,470.91 and 5,207.06

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Solution

The third proportional to 3,470.91 and 5,207.06 is: 7,811.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.91 : 5,207.06 = 5,207.06 : x
  2. Step 2: Convert to fraction form
    3,470.91/5,207.06 = 5,207.06/x
  3. Step 3: Cross multiply
    3,470.91x = 5,207.06 × 5,207.06
  4. Step 4: Simplify right side
    3,470.91x = 27,113,499.88
  5. Step 5: Solve for x
    x = 27,113,499.88/3,470.91
  6. Step 6: Final answer
    x = 7,811.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.