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Finding the Third Proportional to 16,210 and 24,431

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Solution

The third proportional to 16,210 and 24,431 is: 36,821.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,210 : 24,431 = 24,431 : x
  2. Step 2: Convert to fraction form
    16,210/24,431 = 24,431/x
  3. Step 3: Cross multiply
    16,210x = 24,431 × 24,431
  4. Step 4: Simplify right side
    16,210x = 596,873,761
  5. Step 5: Solve for x
    x = 596,873,761/16,210
  6. Step 6: Final answer
    x = 36,821.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.