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Finding the Third Proportional to 7,182.94 and 15,229.78

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Solution

The third proportional to 7,182.94 and 15,229.78 is: 32,291.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.94 : 15,229.78 = 15,229.78 : x
  2. Step 2: Convert to fraction form
    7,182.94/15,229.78 = 15,229.78/x
  3. Step 3: Cross multiply
    7,182.94x = 15,229.78 × 15,229.78
  4. Step 4: Simplify right side
    7,182.94x = 231,946,236.92
  5. Step 5: Solve for x
    x = 231,946,236.92/7,182.94
  6. Step 6: Final answer
    x = 32,291.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.