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Finding the Third Proportional to 12,187.97 and 22,280.06

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Solution

The third proportional to 12,187.97 and 22,280.06 is: 40,728.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187.97 : 22,280.06 = 22,280.06 : x
  2. Step 2: Convert to fraction form
    12,187.97/22,280.06 = 22,280.06/x
  3. Step 3: Cross multiply
    12,187.97x = 22,280.06 × 22,280.06
  4. Step 4: Simplify right side
    12,187.97x = 496,401,185.00
  5. Step 5: Solve for x
    x = 496,401,185.00/12,187.97
  6. Step 6: Final answer
    x = 40,728.79

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These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.