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Finding the Third Proportional to 12,230.25 and 26,805

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Solution

The third proportional to 12,230.25 and 26,805 is: 58,748.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,230.25 : 26,805 = 26,805 : x
  2. Step 2: Convert to fraction form
    12,230.25/26,805 = 26,805/x
  3. Step 3: Cross multiply
    12,230.25x = 26,805 × 26,805
  4. Step 4: Simplify right side
    12,230.25x = 718,508,025
  5. Step 5: Solve for x
    x = 718,508,025/12,230.25
  6. Step 6: Final answer
    x = 58,748.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.