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Finding the Third Proportional to 48,571 and 74,933

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Solution

The third proportional to 48,571 and 74,933 is: 115,603.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,571 : 74,933 = 74,933 : x
  2. Step 2: Convert to fraction form
    48,571/74,933 = 74,933/x
  3. Step 3: Cross multiply
    48,571x = 74,933 × 74,933
  4. Step 4: Simplify right side
    48,571x = 5,614,954,489
  5. Step 5: Solve for x
    x = 5,614,954,489/48,571
  6. Step 6: Final answer
    x = 115,603.02

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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.