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Finding the Third Proportional to 964.13 and 1,616.63

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Solution

The third proportional to 964.13 and 1,616.63 is: 2,710.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.13 : 1,616.63 = 1,616.63 : x
  2. Step 2: Convert to fraction form
    964.13/1,616.63 = 1,616.63/x
  3. Step 3: Cross multiply
    964.13x = 1,616.63 × 1,616.63
  4. Step 4: Simplify right side
    964.13x = 2,613,476.39
  5. Step 5: Solve for x
    x = 2,613,476.39/964.13
  6. Step 6: Final answer
    x = 2,710.72

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.