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Finding the Third Proportional to 29,670 and 39,634

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Solution

The third proportional to 29,670 and 39,634 is: 52,944.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,670 : 39,634 = 39,634 : x
  2. Step 2: Convert to fraction form
    29,670/39,634 = 39,634/x
  3. Step 3: Cross multiply
    29,670x = 39,634 × 39,634
  4. Step 4: Simplify right side
    29,670x = 1,570,853,956
  5. Step 5: Solve for x
    x = 1,570,853,956/29,670
  6. Step 6: Final answer
    x = 52,944.18

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.