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Finding the Third Proportional to 3,354.54 and 5,752.27

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Solution

The third proportional to 3,354.54 and 5,752.27 is: 9,863.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,354.54 : 5,752.27 = 5,752.27 : x
  2. Step 2: Convert to fraction form
    3,354.54/5,752.27 = 5,752.27/x
  3. Step 3: Cross multiply
    3,354.54x = 5,752.27 × 5,752.27
  4. Step 4: Simplify right side
    3,354.54x = 33,088,559.82
  5. Step 5: Solve for x
    x = 33,088,559.82/3,354.54
  6. Step 6: Final answer
    x = 9,863.82

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.