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Finding the Third Proportional to 2,025.84 and 3,207.52

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Solution

The third proportional to 2,025.84 and 3,207.52 is: 5,078.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025.84 : 3,207.52 = 3,207.52 : x
  2. Step 2: Convert to fraction form
    2,025.84/3,207.52 = 3,207.52/x
  3. Step 3: Cross multiply
    2,025.84x = 3,207.52 × 3,207.52
  4. Step 4: Simplify right side
    2,025.84x = 10,288,156.48
  5. Step 5: Solve for x
    x = 10,288,156.48/2,025.84
  6. Step 6: Final answer
    x = 5,078.46

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.