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Finding the Third Proportional to 48,728 and 72,895

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Solution

The third proportional to 48,728 and 72,895 is: 109,047.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,728 : 72,895 = 72,895 : x
  2. Step 2: Convert to fraction form
    48,728/72,895 = 72,895/x
  3. Step 3: Cross multiply
    48,728x = 72,895 × 72,895
  4. Step 4: Simplify right side
    48,728x = 5,313,681,025
  5. Step 5: Solve for x
    x = 5,313,681,025/48,728
  6. Step 6: Final answer
    x = 109,047.80

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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.