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Finding the Third Proportional to 964.75 and 1,116.75

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Solution

The third proportional to 964.75 and 1,116.75 is: 1,292.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.75 : 1,116.75 = 1,116.75 : x
  2. Step 2: Convert to fraction form
    964.75/1,116.75 = 1,116.75/x
  3. Step 3: Cross multiply
    964.75x = 1,116.75 × 1,116.75
  4. Step 4: Simplify right side
    964.75x = 1,247,130.56
  5. Step 5: Solve for x
    x = 1,247,130.56/964.75
  6. Step 6: Final answer
    x = 1,292.70

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.