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Finding the Third Proportional to 20,199 and 29,272

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Solution

The third proportional to 20,199 and 29,272 is: 42,420.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,199 : 29,272 = 29,272 : x
  2. Step 2: Convert to fraction form
    20,199/29,272 = 29,272/x
  3. Step 3: Cross multiply
    20,199x = 29,272 × 29,272
  4. Step 4: Simplify right side
    20,199x = 856,849,984
  5. Step 5: Solve for x
    x = 856,849,984/20,199
  6. Step 6: Final answer
    x = 42,420.42

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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.