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Finding the Third Proportional to 4,332.49 and 9,340.53

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Solution

The third proportional to 4,332.49 and 9,340.53 is: 20,137.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,332.49 : 9,340.53 = 9,340.53 : x
  2. Step 2: Convert to fraction form
    4,332.49/9,340.53 = 9,340.53/x
  3. Step 3: Cross multiply
    4,332.49x = 9,340.53 × 9,340.53
  4. Step 4: Simplify right side
    4,332.49x = 87,245,593.58
  5. Step 5: Solve for x
    x = 87,245,593.58/4,332.49
  6. Step 6: Final answer
    x = 20,137.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.