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Finding the Third Proportional to 3,452.63 and 5,332.71

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Solution

The third proportional to 3,452.63 and 5,332.71 is: 8,236.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.63 : 5,332.71 = 5,332.71 : x
  2. Step 2: Convert to fraction form
    3,452.63/5,332.71 = 5,332.71/x
  3. Step 3: Cross multiply
    3,452.63x = 5,332.71 × 5,332.71
  4. Step 4: Simplify right side
    3,452.63x = 28,437,805.94
  5. Step 5: Solve for x
    x = 28,437,805.94/3,452.63
  6. Step 6: Final answer
    x = 8,236.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.