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Finding the Third Proportional to 12,509.52 and 27,452.36

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Solution

The third proportional to 12,509.52 and 27,452.36 is: 60,244.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.52 : 27,452.36 = 27,452.36 : x
  2. Step 2: Convert to fraction form
    12,509.52/27,452.36 = 27,452.36/x
  3. Step 3: Cross multiply
    12,509.52x = 27,452.36 × 27,452.36
  4. Step 4: Simplify right side
    12,509.52x = 753,631,820.78
  5. Step 5: Solve for x
    x = 753,631,820.78/12,509.52
  6. Step 6: Final answer
    x = 60,244.68

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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.