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Finding the Third Proportional to 6,291 and 8,311.50

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Solution

The third proportional to 6,291 and 8,311.50 is: 10,980.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291 : 8,311.50 = 8,311.50 : x
  2. Step 2: Convert to fraction form
    6,291/8,311.50 = 8,311.50/x
  3. Step 3: Cross multiply
    6,291x = 8,311.50 × 8,311.50
  4. Step 4: Simplify right side
    6,291x = 69,081,032.25
  5. Step 5: Solve for x
    x = 69,081,032.25/6,291
  6. Step 6: Final answer
    x = 10,980.93

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.