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Finding the Third Proportional to 29,567 and 35,034

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Solution

The third proportional to 29,567 and 35,034 is: 41,511.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,567 : 35,034 = 35,034 : x
  2. Step 2: Convert to fraction form
    29,567/35,034 = 35,034/x
  3. Step 3: Cross multiply
    29,567x = 35,034 × 35,034
  4. Step 4: Simplify right side
    29,567x = 1,227,381,156
  5. Step 5: Solve for x
    x = 1,227,381,156/29,567
  6. Step 6: Final answer
    x = 41,511.86

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.