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Finding the Third Proportional to 32,620 and 49,983

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Solution

The third proportional to 32,620 and 49,983 is: 76,587.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,620 : 49,983 = 49,983 : x
  2. Step 2: Convert to fraction form
    32,620/49,983 = 49,983/x
  3. Step 3: Cross multiply
    32,620x = 49,983 × 49,983
  4. Step 4: Simplify right side
    32,620x = 2,498,300,289
  5. Step 5: Solve for x
    x = 2,498,300,289/32,620
  6. Step 6: Final answer
    x = 76,587.99

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.