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Finding the Third Proportional to 5,672.53 and 10,849.57

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Solution

The third proportional to 5,672.53 and 10,849.57 is: 20,751.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.53 : 10,849.57 = 10,849.57 : x
  2. Step 2: Convert to fraction form
    5,672.53/10,849.57 = 10,849.57/x
  3. Step 3: Cross multiply
    5,672.53x = 10,849.57 × 10,849.57
  4. Step 4: Simplify right side
    5,672.53x = 117,713,175.97
  5. Step 5: Solve for x
    x = 117,713,175.97/5,672.53
  6. Step 6: Final answer
    x = 20,751.44

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.