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Finding the Third Proportional to 11,866 and 16,501

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Solution

The third proportional to 11,866 and 16,501 is: 22,946.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866 : 16,501 = 16,501 : x
  2. Step 2: Convert to fraction form
    11,866/16,501 = 16,501/x
  3. Step 3: Cross multiply
    11,866x = 16,501 × 16,501
  4. Step 4: Simplify right side
    11,866x = 272,283,001
  5. Step 5: Solve for x
    x = 272,283,001/11,866
  6. Step 6: Final answer
    x = 22,946.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.