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Finding the Third Proportional to 963.10 and 1,305.12

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Solution

The third proportional to 963.10 and 1,305.12 is: 1,768.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.10 : 1,305.12 = 1,305.12 : x
  2. Step 2: Convert to fraction form
    963.10/1,305.12 = 1,305.12/x
  3. Step 3: Cross multiply
    963.10x = 1,305.12 × 1,305.12
  4. Step 4: Simplify right side
    963.10x = 1,703,328.96
  5. Step 5: Solve for x
    x = 1,703,328.96/963.10
  6. Step 6: Final answer
    x = 1,768.59

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.