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Finding the Third Proportional to 11,427 and 26,452.50

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Solution

The third proportional to 11,427 and 26,452.50 is: 61,235.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,427 : 26,452.50 = 26,452.50 : x
  2. Step 2: Convert to fraction form
    11,427/26,452.50 = 26,452.50/x
  3. Step 3: Cross multiply
    11,427x = 26,452.50 × 26,452.50
  4. Step 4: Simplify right side
    11,427x = 699,734,756.25
  5. Step 5: Solve for x
    x = 699,734,756.25/11,427
  6. Step 6: Final answer
    x = 61,235.21

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.