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Finding the Third Proportional to 26,787 and 40,875

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Solution

The third proportional to 26,787 and 40,875 is: 62,372.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,787 : 40,875 = 40,875 : x
  2. Step 2: Convert to fraction form
    26,787/40,875 = 40,875/x
  3. Step 3: Cross multiply
    26,787x = 40,875 × 40,875
  4. Step 4: Simplify right side
    26,787x = 1,670,765,625
  5. Step 5: Solve for x
    x = 1,670,765,625/26,787
  6. Step 6: Final answer
    x = 62,372.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.