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Finding the Third Proportional to 12,352.18 and 27,467.54

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Solution

The third proportional to 12,352.18 and 27,467.54 is: 61,079.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,352.18 : 27,467.54 = 27,467.54 : x
  2. Step 2: Convert to fraction form
    12,352.18/27,467.54 = 27,467.54/x
  3. Step 3: Cross multiply
    12,352.18x = 27,467.54 × 27,467.54
  4. Step 4: Simplify right side
    12,352.18x = 754,465,916.74
  5. Step 5: Solve for x
    x = 754,465,916.74/12,352.18
  6. Step 6: Final answer
    x = 61,079.56

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.