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Finding the Third Proportional to 2,289.52 and 3,502.62

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Solution

The third proportional to 2,289.52 and 3,502.62 is: 5,358.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.52 : 3,502.62 = 3,502.62 : x
  2. Step 2: Convert to fraction form
    2,289.52/3,502.62 = 3,502.62/x
  3. Step 3: Cross multiply
    2,289.52x = 3,502.62 × 3,502.62
  4. Step 4: Simplify right side
    2,289.52x = 12,268,327.16
  5. Step 5: Solve for x
    x = 12,268,327.16/2,289.52
  6. Step 6: Final answer
    x = 5,358.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.