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Finding the Third Proportional to 6,807 and 11,788.50

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Solution

The third proportional to 6,807 and 11,788.50 is: 20,415.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807 : 11,788.50 = 11,788.50 : x
  2. Step 2: Convert to fraction form
    6,807/11,788.50 = 11,788.50/x
  3. Step 3: Cross multiply
    6,807x = 11,788.50 × 11,788.50
  4. Step 4: Simplify right side
    6,807x = 138,968,732.25
  5. Step 5: Solve for x
    x = 138,968,732.25/6,807
  6. Step 6: Final answer
    x = 20,415.56

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.