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Finding the Third Proportional to 48,568 and 75,008

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Solution

The third proportional to 48,568 and 75,008 is: 115,841.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,568 : 75,008 = 75,008 : x
  2. Step 2: Convert to fraction form
    48,568/75,008 = 75,008/x
  3. Step 3: Cross multiply
    48,568x = 75,008 × 75,008
  4. Step 4: Simplify right side
    48,568x = 5,626,200,064
  5. Step 5: Solve for x
    x = 5,626,200,064/48,568
  6. Step 6: Final answer
    x = 115,841.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.