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Finding the Third Proportional to 29,049 and 40,906

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Solution

The third proportional to 29,049 and 40,906 is: 57,602.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,049 : 40,906 = 40,906 : x
  2. Step 2: Convert to fraction form
    29,049/40,906 = 40,906/x
  3. Step 3: Cross multiply
    29,049x = 40,906 × 40,906
  4. Step 4: Simplify right side
    29,049x = 1,673,300,836
  5. Step 5: Solve for x
    x = 1,673,300,836/29,049
  6. Step 6: Final answer
    x = 57,602.70

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.