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Finding the Third Proportional to 29,597 and 41,634

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Solution

The third proportional to 29,597 and 41,634 is: 58,566.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,597 : 41,634 = 41,634 : x
  2. Step 2: Convert to fraction form
    29,597/41,634 = 41,634/x
  3. Step 3: Cross multiply
    29,597x = 41,634 × 41,634
  4. Step 4: Simplify right side
    29,597x = 1,733,389,956
  5. Step 5: Solve for x
    x = 1,733,389,956/29,597
  6. Step 6: Final answer
    x = 58,566.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.