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Finding the Third Proportional to 26,434 and 38,775

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Solution

The third proportional to 26,434 and 38,775 is: 56,877.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,434 : 38,775 = 38,775 : x
  2. Step 2: Convert to fraction form
    26,434/38,775 = 38,775/x
  3. Step 3: Cross multiply
    26,434x = 38,775 × 38,775
  4. Step 4: Simplify right side
    26,434x = 1,503,500,625
  5. Step 5: Solve for x
    x = 1,503,500,625/26,434
  6. Step 6: Final answer
    x = 56,877.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.