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Finding the Third Proportional to 26,202 and 36,828

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Solution

The third proportional to 26,202 and 36,828 is: 51,763.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,202 : 36,828 = 36,828 : x
  2. Step 2: Convert to fraction form
    26,202/36,828 = 36,828/x
  3. Step 3: Cross multiply
    26,202x = 36,828 × 36,828
  4. Step 4: Simplify right side
    26,202x = 1,356,301,584
  5. Step 5: Solve for x
    x = 1,356,301,584/26,202
  6. Step 6: Final answer
    x = 51,763.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.