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Finding the Third Proportional to 32,922 and 72,408

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Solution

The third proportional to 32,922 and 72,408 is: 159,252.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,922 : 72,408 = 72,408 : x
  2. Step 2: Convert to fraction form
    32,922/72,408 = 72,408/x
  3. Step 3: Cross multiply
    32,922x = 72,408 × 72,408
  4. Step 4: Simplify right side
    32,922x = 5,242,918,464
  5. Step 5: Solve for x
    x = 5,242,918,464/32,922
  6. Step 6: Final answer
    x = 159,252.73

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.