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Finding the Third Proportional to 2,332.25 and 3,532.25

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Solution

The third proportional to 2,332.25 and 3,532.25 is: 5,349.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.25 : 3,532.25 = 3,532.25 : x
  2. Step 2: Convert to fraction form
    2,332.25/3,532.25 = 3,532.25/x
  3. Step 3: Cross multiply
    2,332.25x = 3,532.25 × 3,532.25
  4. Step 4: Simplify right side
    2,332.25x = 12,476,790.06
  5. Step 5: Solve for x
    x = 12,476,790.06/2,332.25
  6. Step 6: Final answer
    x = 5,349.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.