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Finding the Third Proportional to 29,298 and 40,302

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Solution

The third proportional to 29,298 and 40,302 is: 55,438.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,298 : 40,302 = 40,302 : x
  2. Step 2: Convert to fraction form
    29,298/40,302 = 40,302/x
  3. Step 3: Cross multiply
    29,298x = 40,302 × 40,302
  4. Step 4: Simplify right side
    29,298x = 1,624,251,204
  5. Step 5: Solve for x
    x = 1,624,251,204/29,298
  6. Step 6: Final answer
    x = 55,438.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.