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Finding the Third Proportional to 964.25 and 1,829.75

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Solution

The third proportional to 964.25 and 1,829.75 is: 3,472.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.25 : 1,829.75 = 1,829.75 : x
  2. Step 2: Convert to fraction form
    964.25/1,829.75 = 1,829.75/x
  3. Step 3: Cross multiply
    964.25x = 1,829.75 × 1,829.75
  4. Step 4: Simplify right side
    964.25x = 3,347,985.06
  5. Step 5: Solve for x
    x = 3,347,985.06/964.25
  6. Step 6: Final answer
    x = 3,472.11

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.