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Finding the Third Proportional to 3,032.44 and 4,441.92

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Solution

The third proportional to 3,032.44 and 4,441.92 is: 6,506.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.44 : 4,441.92 = 4,441.92 : x
  2. Step 2: Convert to fraction form
    3,032.44/4,441.92 = 4,441.92/x
  3. Step 3: Cross multiply
    3,032.44x = 4,441.92 × 4,441.92
  4. Step 4: Simplify right side
    3,032.44x = 19,730,669.94
  5. Step 5: Solve for x
    x = 19,730,669.94/3,032.44
  6. Step 6: Final answer
    x = 6,506.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.