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Finding the Third Proportional to 29,731 and 43,611

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Solution

The third proportional to 29,731 and 43,611 is: 63,970.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,731 : 43,611 = 43,611 : x
  2. Step 2: Convert to fraction form
    29,731/43,611 = 43,611/x
  3. Step 3: Cross multiply
    29,731x = 43,611 × 43,611
  4. Step 4: Simplify right side
    29,731x = 1,901,919,321
  5. Step 5: Solve for x
    x = 1,901,919,321/29,731
  6. Step 6: Final answer
    x = 63,970.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.