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Finding the Third Proportional to 964.75 and 1,538.75

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Solution

The third proportional to 964.75 and 1,538.75 is: 2,454.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.75 : 1,538.75 = 1,538.75 : x
  2. Step 2: Convert to fraction form
    964.75/1,538.75 = 1,538.75/x
  3. Step 3: Cross multiply
    964.75x = 1,538.75 × 1,538.75
  4. Step 4: Simplify right side
    964.75x = 2,367,751.56
  5. Step 5: Solve for x
    x = 2,367,751.56/964.75
  6. Step 6: Final answer
    x = 2,454.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.