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Finding the Third Proportional to 26,735 and 58,481

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Solution

The third proportional to 26,735 and 58,481 is: 127,923.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,735 : 58,481 = 58,481 : x
  2. Step 2: Convert to fraction form
    26,735/58,481 = 58,481/x
  3. Step 3: Cross multiply
    26,735x = 58,481 × 58,481
  4. Step 4: Simplify right side
    26,735x = 3,420,027,361
  5. Step 5: Solve for x
    x = 3,420,027,361/26,735
  6. Step 6: Final answer
    x = 127,923.22

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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.