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Finding the Third Proportional to 26,788 and 41,480

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Solution

The third proportional to 26,788 and 41,480 is: 64,229.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,788 : 41,480 = 41,480 : x
  2. Step 2: Convert to fraction form
    26,788/41,480 = 41,480/x
  3. Step 3: Cross multiply
    26,788x = 41,480 × 41,480
  4. Step 4: Simplify right side
    26,788x = 1,720,590,400
  5. Step 5: Solve for x
    x = 1,720,590,400/26,788
  6. Step 6: Final answer
    x = 64,229.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.