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Finding the Third Proportional to 12,282.89 and 27,026.16

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Solution

The third proportional to 12,282.89 and 27,026.16 is: 59,465.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,282.89 : 27,026.16 = 27,026.16 : x
  2. Step 2: Convert to fraction form
    12,282.89/27,026.16 = 27,026.16/x
  3. Step 3: Cross multiply
    12,282.89x = 27,026.16 × 27,026.16
  4. Step 4: Simplify right side
    12,282.89x = 730,413,121.65
  5. Step 5: Solve for x
    x = 730,413,121.65/12,282.89
  6. Step 6: Final answer
    x = 59,465.90

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.