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Finding the Third Proportional to 962.25 and 2,107.69

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Solution

The third proportional to 962.25 and 2,107.69 is: 4,616.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.25 : 2,107.69 = 2,107.69 : x
  2. Step 2: Convert to fraction form
    962.25/2,107.69 = 2,107.69/x
  3. Step 3: Cross multiply
    962.25x = 2,107.69 × 2,107.69
  4. Step 4: Simplify right side
    962.25x = 4,442,346.60
  5. Step 5: Solve for x
    x = 4,442,346.60/962.25
  6. Step 6: Final answer
    x = 4,616.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.