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Finding the Third Proportional to 36,368 and 76,408

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Solution

The third proportional to 36,368 and 76,408 is: 160,530.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,368 : 76,408 = 76,408 : x
  2. Step 2: Convert to fraction form
    36,368/76,408 = 76,408/x
  3. Step 3: Cross multiply
    36,368x = 76,408 × 76,408
  4. Step 4: Simplify right side
    36,368x = 5,838,182,464
  5. Step 5: Solve for x
    x = 5,838,182,464/36,368
  6. Step 6: Final answer
    x = 160,530.75

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.