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Finding the Third Proportional to 964.13 and 2,024.44

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Solution

The third proportional to 964.13 and 2,024.44 is: 4,250.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.13 : 2,024.44 = 2,024.44 : x
  2. Step 2: Convert to fraction form
    964.13/2,024.44 = 2,024.44/x
  3. Step 3: Cross multiply
    964.13x = 2,024.44 × 2,024.44
  4. Step 4: Simplify right side
    964.13x = 4,098,347.19
  5. Step 5: Solve for x
    x = 4,098,347.19/964.13
  6. Step 6: Final answer
    x = 4,250.85

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.