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Finding the Third Proportional to 8,159.06 and 11,304.56

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Solution

The third proportional to 8,159.06 and 11,304.56 is: 15,662.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.06 : 11,304.56 = 11,304.56 : x
  2. Step 2: Convert to fraction form
    8,159.06/11,304.56 = 11,304.56/x
  3. Step 3: Cross multiply
    8,159.06x = 11,304.56 × 11,304.56
  4. Step 4: Simplify right side
    8,159.06x = 127,793,133.32
  5. Step 5: Solve for x
    x = 127,793,133.32/8,159.06
  6. Step 6: Final answer
    x = 15,662.72

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.