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Finding the Third Proportional to 12,765.09 and 27,474.19

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Solution

The third proportional to 12,765.09 and 27,474.19 is: 59,132.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,765.09 : 27,474.19 = 27,474.19 : x
  2. Step 2: Convert to fraction form
    12,765.09/27,474.19 = 27,474.19/x
  3. Step 3: Cross multiply
    12,765.09x = 27,474.19 × 27,474.19
  4. Step 4: Simplify right side
    12,765.09x = 754,830,978.79
  5. Step 5: Solve for x
    x = 754,830,978.79/12,765.09
  6. Step 6: Final answer
    x = 59,132.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.