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Finding the Third Proportional to 26,804 and 42,481

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Solution

The third proportional to 26,804 and 42,481 is: 67,327.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,804 : 42,481 = 42,481 : x
  2. Step 2: Convert to fraction form
    26,804/42,481 = 42,481/x
  3. Step 3: Cross multiply
    26,804x = 42,481 × 42,481
  4. Step 4: Simplify right side
    26,804x = 1,804,635,361
  5. Step 5: Solve for x
    x = 1,804,635,361/26,804
  6. Step 6: Final answer
    x = 67,327.09

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.