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Finding the Third Proportional to 8,310.75 and 12,773.50

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Solution

The third proportional to 8,310.75 and 12,773.50 is: 19,632.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.75 : 12,773.50 = 12,773.50 : x
  2. Step 2: Convert to fraction form
    8,310.75/12,773.50 = 12,773.50/x
  3. Step 3: Cross multiply
    8,310.75x = 12,773.50 × 12,773.50
  4. Step 4: Simplify right side
    8,310.75x = 163,162,302.25
  5. Step 5: Solve for x
    x = 163,162,302.25/8,310.75
  6. Step 6: Final answer
    x = 19,632.68

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.