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Finding the Third Proportional to 3,925.69 and 5,751.84

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Solution

The third proportional to 3,925.69 and 5,751.84 is: 8,427.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,925.69 : 5,751.84 = 5,751.84 : x
  2. Step 2: Convert to fraction form
    3,925.69/5,751.84 = 5,751.84/x
  3. Step 3: Cross multiply
    3,925.69x = 5,751.84 × 5,751.84
  4. Step 4: Simplify right side
    3,925.69x = 33,083,706.52
  5. Step 5: Solve for x
    x = 33,083,706.52/3,925.69
  6. Step 6: Final answer
    x = 8,427.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.