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Finding the Third Proportional to 29,836 and 40,373

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Solution

The third proportional to 29,836 and 40,373 is: 54,631.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,836 : 40,373 = 40,373 : x
  2. Step 2: Convert to fraction form
    29,836/40,373 = 40,373/x
  3. Step 3: Cross multiply
    29,836x = 40,373 × 40,373
  4. Step 4: Simplify right side
    29,836x = 1,629,979,129
  5. Step 5: Solve for x
    x = 1,629,979,129/29,836
  6. Step 6: Final answer
    x = 54,631.29

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.