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Finding the Third Proportional to 36,991 and 56,408

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Solution

The third proportional to 36,991 and 56,408 is: 86,017.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,991 : 56,408 = 56,408 : x
  2. Step 2: Convert to fraction form
    36,991/56,408 = 56,408/x
  3. Step 3: Cross multiply
    36,991x = 56,408 × 56,408
  4. Step 4: Simplify right side
    36,991x = 3,181,862,464
  5. Step 5: Solve for x
    x = 3,181,862,464/36,991
  6. Step 6: Final answer
    x = 86,017.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.