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Finding the Third Proportional to 7,159.25 and 14,520.75

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Solution

The third proportional to 7,159.25 and 14,520.75 is: 29,451.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,159.25 : 14,520.75 = 14,520.75 : x
  2. Step 2: Convert to fraction form
    7,159.25/14,520.75 = 14,520.75/x
  3. Step 3: Cross multiply
    7,159.25x = 14,520.75 × 14,520.75
  4. Step 4: Simplify right side
    7,159.25x = 210,852,180.56
  5. Step 5: Solve for x
    x = 210,852,180.56/7,159.25
  6. Step 6: Final answer
    x = 29,451.71

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.