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Finding the Third Proportional to 17,768 and 20,927

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Solution

The third proportional to 17,768 and 20,927 is: 24,647.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,768 : 20,927 = 20,927 : x
  2. Step 2: Convert to fraction form
    17,768/20,927 = 20,927/x
  3. Step 3: Cross multiply
    17,768x = 20,927 × 20,927
  4. Step 4: Simplify right side
    17,768x = 437,939,329
  5. Step 5: Solve for x
    x = 437,939,329/17,768
  6. Step 6: Final answer
    x = 24,647.64

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.