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Finding the Third Proportional to 20,568 and 29,424

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Solution

The third proportional to 20,568 and 29,424 is: 42,093.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,568 : 29,424 = 29,424 : x
  2. Step 2: Convert to fraction form
    20,568/29,424 = 29,424/x
  3. Step 3: Cross multiply
    20,568x = 29,424 × 29,424
  4. Step 4: Simplify right side
    20,568x = 865,771,776
  5. Step 5: Solve for x
    x = 865,771,776/20,568
  6. Step 6: Final answer
    x = 42,093.14

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.