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Finding the Third Proportional to 26,848 and 41,260

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Solution

The third proportional to 26,848 and 41,260 is: 63,408.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,848 : 41,260 = 41,260 : x
  2. Step 2: Convert to fraction form
    26,848/41,260 = 41,260/x
  3. Step 3: Cross multiply
    26,848x = 41,260 × 41,260
  4. Step 4: Simplify right side
    26,848x = 1,702,387,600
  5. Step 5: Solve for x
    x = 1,702,387,600/26,848
  6. Step 6: Final answer
    x = 63,408.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.