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Finding the Third Proportional to 12,185 and 26,458

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Solution

The third proportional to 12,185 and 26,458 is: 57,449.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185 : 26,458 = 26,458 : x
  2. Step 2: Convert to fraction form
    12,185/26,458 = 26,458/x
  3. Step 3: Cross multiply
    12,185x = 26,458 × 26,458
  4. Step 4: Simplify right side
    12,185x = 700,025,764
  5. Step 5: Solve for x
    x = 700,025,764/12,185
  6. Step 6: Final answer
    x = 57,449.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.