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Finding the Third Proportional to 26,046 and 36,878

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Solution

The third proportional to 26,046 and 36,878 is: 52,214.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,046 : 36,878 = 36,878 : x
  2. Step 2: Convert to fraction form
    26,046/36,878 = 36,878/x
  3. Step 3: Cross multiply
    26,046x = 36,878 × 36,878
  4. Step 4: Simplify right side
    26,046x = 1,359,986,884
  5. Step 5: Solve for x
    x = 1,359,986,884/26,046
  6. Step 6: Final answer
    x = 52,214.81

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.