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Finding the Third Proportional to 2,445.75 and 5,769.56

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Solution

The third proportional to 2,445.75 and 5,769.56 is: 13,610.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445.75 : 5,769.56 = 5,769.56 : x
  2. Step 2: Convert to fraction form
    2,445.75/5,769.56 = 5,769.56/x
  3. Step 3: Cross multiply
    2,445.75x = 5,769.56 × 5,769.56
  4. Step 4: Simplify right side
    2,445.75x = 33,287,851.44
  5. Step 5: Solve for x
    x = 33,287,851.44/2,445.75
  6. Step 6: Final answer
    x = 13,610.49

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.