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Finding the Third Proportional to 864.11 and 2,029.54

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Solution

The third proportional to 864.11 and 2,029.54 is: 4,766.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.11 : 2,029.54 = 2,029.54 : x
  2. Step 2: Convert to fraction form
    864.11/2,029.54 = 2,029.54/x
  3. Step 3: Cross multiply
    864.11x = 2,029.54 × 2,029.54
  4. Step 4: Simplify right side
    864.11x = 4,119,012.95
  5. Step 5: Solve for x
    x = 4,119,012.95/864.11
  6. Step 6: Final answer
    x = 4,766.79

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.