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Finding the Third Proportional to 20,201 and 29,275

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Solution

The third proportional to 20,201 and 29,275 is: 42,424.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,201 : 29,275 = 29,275 : x
  2. Step 2: Convert to fraction form
    20,201/29,275 = 29,275/x
  3. Step 3: Cross multiply
    20,201x = 29,275 × 29,275
  4. Step 4: Simplify right side
    20,201x = 857,025,625
  5. Step 5: Solve for x
    x = 857,025,625/20,201
  6. Step 6: Final answer
    x = 42,424.91

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.