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Finding the Third Proportional to 8,365.22 and 11,470.57

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Solution

The third proportional to 8,365.22 and 11,470.57 is: 15,728.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,365.22 : 11,470.57 = 11,470.57 : x
  2. Step 2: Convert to fraction form
    8,365.22/11,470.57 = 11,470.57/x
  3. Step 3: Cross multiply
    8,365.22x = 11,470.57 × 11,470.57
  4. Step 4: Simplify right side
    8,365.22x = 131,573,983.29
  5. Step 5: Solve for x
    x = 131,573,983.29/8,365.22
  6. Step 6: Final answer
    x = 15,728.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.