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Finding the Third Proportional to 26,834 and 40,828

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Solution

The third proportional to 26,834 and 40,828 is: 62,119.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,834 : 40,828 = 40,828 : x
  2. Step 2: Convert to fraction form
    26,834/40,828 = 40,828/x
  3. Step 3: Cross multiply
    26,834x = 40,828 × 40,828
  4. Step 4: Simplify right side
    26,834x = 1,666,925,584
  5. Step 5: Solve for x
    x = 1,666,925,584/26,834
  6. Step 6: Final answer
    x = 62,119.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.