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Finding the Third Proportional to 48,645 and 72,974

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Solution

The third proportional to 48,645 and 72,974 is: 109,470.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,645 : 72,974 = 72,974 : x
  2. Step 2: Convert to fraction form
    48,645/72,974 = 72,974/x
  3. Step 3: Cross multiply
    48,645x = 72,974 × 72,974
  4. Step 4: Simplify right side
    48,645x = 5,325,204,676
  5. Step 5: Solve for x
    x = 5,325,204,676/48,645
  6. Step 6: Final answer
    x = 109,470.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.