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Finding the Third Proportional to 48,005 and 65,923

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Solution

The third proportional to 48,005 and 65,923 is: 90,528.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,005 : 65,923 = 65,923 : x
  2. Step 2: Convert to fraction form
    48,005/65,923 = 65,923/x
  3. Step 3: Cross multiply
    48,005x = 65,923 × 65,923
  4. Step 4: Simplify right side
    48,005x = 4,345,841,929
  5. Step 5: Solve for x
    x = 4,345,841,929/48,005
  6. Step 6: Final answer
    x = 90,528.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.