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Finding the Third Proportional to 29,065 and 43,811

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Solution

The third proportional to 29,065 and 43,811 is: 66,038.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,065 : 43,811 = 43,811 : x
  2. Step 2: Convert to fraction form
    29,065/43,811 = 43,811/x
  3. Step 3: Cross multiply
    29,065x = 43,811 × 43,811
  4. Step 4: Simplify right side
    29,065x = 1,919,403,721
  5. Step 5: Solve for x
    x = 1,919,403,721/29,065
  6. Step 6: Final answer
    x = 66,038.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.