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Finding the Third Proportional to 29,238 and 40,210

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Solution

The third proportional to 29,238 and 40,210 is: 55,299.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,238 : 40,210 = 40,210 : x
  2. Step 2: Convert to fraction form
    29,238/40,210 = 40,210/x
  3. Step 3: Cross multiply
    29,238x = 40,210 × 40,210
  4. Step 4: Simplify right side
    29,238x = 1,616,844,100
  5. Step 5: Solve for x
    x = 1,616,844,100/29,238
  6. Step 6: Final answer
    x = 55,299.41

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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.