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Finding the Third Proportional to 2,289.75 and 2,502.38

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Solution

The third proportional to 2,289.75 and 2,502.38 is: 2,734.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.75 : 2,502.38 = 2,502.38 : x
  2. Step 2: Convert to fraction form
    2,289.75/2,502.38 = 2,502.38/x
  3. Step 3: Cross multiply
    2,289.75x = 2,502.38 × 2,502.38
  4. Step 4: Simplify right side
    2,289.75x = 6,261,880.64
  5. Step 5: Solve for x
    x = 6,261,880.64/2,289.75
  6. Step 6: Final answer
    x = 2,734.74

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.