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Finding the Third Proportional to 5,672.53 and 15,286.22

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Solution

The third proportional to 5,672.53 and 15,286.22 is: 41,192.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.53 : 15,286.22 = 15,286.22 : x
  2. Step 2: Convert to fraction form
    5,672.53/15,286.22 = 15,286.22/x
  3. Step 3: Cross multiply
    5,672.53x = 15,286.22 × 15,286.22
  4. Step 4: Simplify right side
    5,672.53x = 233,668,483.67
  5. Step 5: Solve for x
    x = 233,668,483.67/5,672.53
  6. Step 6: Final answer
    x = 41,192.98

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.