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Finding the Third Proportional to 17,985 and 26,793

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Solution

The third proportional to 17,985 and 26,793 is: 39,914.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,985 : 26,793 = 26,793 : x
  2. Step 2: Convert to fraction form
    17,985/26,793 = 26,793/x
  3. Step 3: Cross multiply
    17,985x = 26,793 × 26,793
  4. Step 4: Simplify right side
    17,985x = 717,864,849
  5. Step 5: Solve for x
    x = 717,864,849/17,985
  6. Step 6: Final answer
    x = 39,914.64

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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.