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Finding the Third Proportional to 18,051.50 and 26,927

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Solution

The third proportional to 18,051.50 and 26,927 is: 40,166.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,051.50 : 26,927 = 26,927 : x
  2. Step 2: Convert to fraction form
    18,051.50/26,927 = 26,927/x
  3. Step 3: Cross multiply
    18,051.50x = 26,927 × 26,927
  4. Step 4: Simplify right side
    18,051.50x = 725,063,329
  5. Step 5: Solve for x
    x = 725,063,329/18,051.50
  6. Step 6: Final answer
    x = 40,166.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.