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Finding the Third Proportional to 20,184 and 29,396

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Solution

The third proportional to 20,184 and 29,396 is: 42,812.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,184 : 29,396 = 29,396 : x
  2. Step 2: Convert to fraction form
    20,184/29,396 = 29,396/x
  3. Step 3: Cross multiply
    20,184x = 29,396 × 29,396
  4. Step 4: Simplify right side
    20,184x = 864,124,816
  5. Step 5: Solve for x
    x = 864,124,816/20,184
  6. Step 6: Final answer
    x = 42,812.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.