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Finding the Third Proportional to 2,452.78 and 5,368.78

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Solution

The third proportional to 2,452.78 and 5,368.78 is: 11,751.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.78 : 5,368.78 = 5,368.78 : x
  2. Step 2: Convert to fraction form
    2,452.78/5,368.78 = 5,368.78/x
  3. Step 3: Cross multiply
    2,452.78x = 5,368.78 × 5,368.78
  4. Step 4: Simplify right side
    2,452.78x = 28,823,812.11
  5. Step 5: Solve for x
    x = 28,823,812.11/2,452.78
  6. Step 6: Final answer
    x = 11,751.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.