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Finding the Third Proportional to 8,083.50 and 10,915.50

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Solution

The third proportional to 8,083.50 and 10,915.50 is: 14,739.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083.50 : 10,915.50 = 10,915.50 : x
  2. Step 2: Convert to fraction form
    8,083.50/10,915.50 = 10,915.50/x
  3. Step 3: Cross multiply
    8,083.50x = 10,915.50 × 10,915.50
  4. Step 4: Simplify right side
    8,083.50x = 119,148,140.25
  5. Step 5: Solve for x
    x = 119,148,140.25/8,083.50
  6. Step 6: Final answer
    x = 14,739.67

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.