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Finding the Third Proportional to 12,266.44 and 26,494.59

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Solution

The third proportional to 12,266.44 and 26,494.59 is: 57,226.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,266.44 : 26,494.59 = 26,494.59 : x
  2. Step 2: Convert to fraction form
    12,266.44/26,494.59 = 26,494.59/x
  3. Step 3: Cross multiply
    12,266.44x = 26,494.59 × 26,494.59
  4. Step 4: Simplify right side
    12,266.44x = 701,963,497.98
  5. Step 5: Solve for x
    x = 701,963,497.98/12,266.44
  6. Step 6: Final answer
    x = 57,226.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.