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Finding the Third Proportional to 16,024 and 22,411

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Solution

The third proportional to 16,024 and 22,411 is: 31,343.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,024 : 22,411 = 22,411 : x
  2. Step 2: Convert to fraction form
    16,024/22,411 = 22,411/x
  3. Step 3: Cross multiply
    16,024x = 22,411 × 22,411
  4. Step 4: Simplify right side
    16,024x = 502,252,921
  5. Step 5: Solve for x
    x = 502,252,921/16,024
  6. Step 6: Final answer
    x = 31,343.79

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.