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Finding the Third Proportional to 964.25 and 2,049.63

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Solution

The third proportional to 964.25 and 2,049.63 is: 4,356.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.25 : 2,049.63 = 2,049.63 : x
  2. Step 2: Convert to fraction form
    964.25/2,049.63 = 2,049.63/x
  3. Step 3: Cross multiply
    964.25x = 2,049.63 × 2,049.63
  4. Step 4: Simplify right side
    964.25x = 4,200,962.64
  5. Step 5: Solve for x
    x = 4,200,962.64/964.25
  6. Step 6: Final answer
    x = 4,356.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.