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Finding the Third Proportional to 36,038 and 77,408

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Solution

The third proportional to 36,038 and 77,408 is: 166,268.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,038 : 77,408 = 77,408 : x
  2. Step 2: Convert to fraction form
    36,038/77,408 = 77,408/x
  3. Step 3: Cross multiply
    36,038x = 77,408 × 77,408
  4. Step 4: Simplify right side
    36,038x = 5,991,998,464
  5. Step 5: Solve for x
    x = 5,991,998,464/36,038
  6. Step 6: Final answer
    x = 166,268.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.