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Finding the Third Proportional to 16,562 and 24,771

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Solution

The third proportional to 16,562 and 24,771 is: 37,048.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,562 : 24,771 = 24,771 : x
  2. Step 2: Convert to fraction form
    16,562/24,771 = 24,771/x
  3. Step 3: Cross multiply
    16,562x = 24,771 × 24,771
  4. Step 4: Simplify right side
    16,562x = 613,602,441
  5. Step 5: Solve for x
    x = 613,602,441/16,562
  6. Step 6: Final answer
    x = 37,048.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.