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Finding the Third Proportional to 29,766 and 40,815

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Solution

The third proportional to 29,766 and 40,815 is: 55,965.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,766 : 40,815 = 40,815 : x
  2. Step 2: Convert to fraction form
    29,766/40,815 = 40,815/x
  3. Step 3: Cross multiply
    29,766x = 40,815 × 40,815
  4. Step 4: Simplify right side
    29,766x = 1,665,864,225
  5. Step 5: Solve for x
    x = 1,665,864,225/29,766
  6. Step 6: Final answer
    x = 55,965.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.