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Finding the Third Proportional to 29,038 and 43,443

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Solution

The third proportional to 29,038 and 43,443 is: 64,993.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,038 : 43,443 = 43,443 : x
  2. Step 2: Convert to fraction form
    29,038/43,443 = 43,443/x
  3. Step 3: Cross multiply
    29,038x = 43,443 × 43,443
  4. Step 4: Simplify right side
    29,038x = 1,887,294,249
  5. Step 5: Solve for x
    x = 1,887,294,249/29,038
  6. Step 6: Final answer
    x = 64,993.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.