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Finding the Third Proportional to 29,924 and 38,826

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Solution

The third proportional to 29,924 and 38,826 is: 50,376.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,924 : 38,826 = 38,826 : x
  2. Step 2: Convert to fraction form
    29,924/38,826 = 38,826/x
  3. Step 3: Cross multiply
    29,924x = 38,826 × 38,826
  4. Step 4: Simplify right side
    29,924x = 1,507,458,276
  5. Step 5: Solve for x
    x = 1,507,458,276/29,924
  6. Step 6: Final answer
    x = 50,376.23

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.