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Finding the Third Proportional to 29,933 and 44,904

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Solution

The third proportional to 29,933 and 44,904 is: 67,362.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,933 : 44,904 = 44,904 : x
  2. Step 2: Convert to fraction form
    29,933/44,904 = 44,904/x
  3. Step 3: Cross multiply
    29,933x = 44,904 × 44,904
  4. Step 4: Simplify right side
    29,933x = 2,016,369,216
  5. Step 5: Solve for x
    x = 2,016,369,216/29,933
  6. Step 6: Final answer
    x = 67,362.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.