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Finding the Third Proportional to 2,652.75 and 4,078.69

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Solution

The third proportional to 2,652.75 and 4,078.69 is: 6,271.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.75 : 4,078.69 = 4,078.69 : x
  2. Step 2: Convert to fraction form
    2,652.75/4,078.69 = 4,078.69/x
  3. Step 3: Cross multiply
    2,652.75x = 4,078.69 × 4,078.69
  4. Step 4: Simplify right side
    2,652.75x = 16,635,691.72
  5. Step 5: Solve for x
    x = 16,635,691.72/2,652.75
  6. Step 6: Final answer
    x = 6,271.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.