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Finding the Third Proportional to 29,598 and 41,635

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Solution

The third proportional to 29,598 and 41,635 is: 58,567.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,598 : 41,635 = 41,635 : x
  2. Step 2: Convert to fraction form
    29,598/41,635 = 41,635/x
  3. Step 3: Cross multiply
    29,598x = 41,635 × 41,635
  4. Step 4: Simplify right side
    29,598x = 1,733,473,225
  5. Step 5: Solve for x
    x = 1,733,473,225/29,598
  6. Step 6: Final answer
    x = 58,567.24

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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.