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Finding the Third Proportional to 26,018 and 62,927

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Solution

The third proportional to 26,018 and 62,927 is: 152,194.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,018 : 62,927 = 62,927 : x
  2. Step 2: Convert to fraction form
    26,018/62,927 = 62,927/x
  3. Step 3: Cross multiply
    26,018x = 62,927 × 62,927
  4. Step 4: Simplify right side
    26,018x = 3,959,807,329
  5. Step 5: Solve for x
    x = 3,959,807,329/26,018
  6. Step 6: Final answer
    x = 152,194.92

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.