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Finding the Third Proportional to 48,562 and 65,923

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Solution

The third proportional to 48,562 and 65,923 is: 89,490.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,562 : 65,923 = 65,923 : x
  2. Step 2: Convert to fraction form
    48,562/65,923 = 65,923/x
  3. Step 3: Cross multiply
    48,562x = 65,923 × 65,923
  4. Step 4: Simplify right side
    48,562x = 4,345,841,929
  5. Step 5: Solve for x
    x = 4,345,841,929/48,562
  6. Step 6: Final answer
    x = 89,490.59

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.