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Finding the Third Proportional to 5,786.25 and 12,448.88

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Solution

The third proportional to 5,786.25 and 12,448.88 is: 26,783.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.25 : 12,448.88 = 12,448.88 : x
  2. Step 2: Convert to fraction form
    5,786.25/12,448.88 = 12,448.88/x
  3. Step 3: Cross multiply
    5,786.25x = 12,448.88 × 12,448.88
  4. Step 4: Simplify right side
    5,786.25x = 154,974,488.77
  5. Step 5: Solve for x
    x = 154,974,488.77/5,786.25
  6. Step 6: Final answer
    x = 26,783.23

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