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Finding the Third Proportional to 12,625.88 and 27,462.38

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Solution

The third proportional to 12,625.88 and 27,462.38 is: 59,733.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,625.88 : 27,462.38 = 27,462.38 : x
  2. Step 2: Convert to fraction form
    12,625.88/27,462.38 = 27,462.38/x
  3. Step 3: Cross multiply
    12,625.88x = 27,462.38 × 27,462.38
  4. Step 4: Simplify right side
    12,625.88x = 754,182,040.64
  5. Step 5: Solve for x
    x = 754,182,040.64/12,625.88
  6. Step 6: Final answer
    x = 59,733.05

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.