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Finding the Third Proportional to 29,704 and 35,176

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Solution

The third proportional to 29,704 and 35,176 is: 41,656.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,704 : 35,176 = 35,176 : x
  2. Step 2: Convert to fraction form
    29,704/35,176 = 35,176/x
  3. Step 3: Cross multiply
    29,704x = 35,176 × 35,176
  4. Step 4: Simplify right side
    29,704x = 1,237,350,976
  5. Step 5: Solve for x
    x = 1,237,350,976/29,704
  6. Step 6: Final answer
    x = 41,656.04

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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.