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Finding the Third Proportional to 5,510.53 and 8,255.67

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Solution

The third proportional to 5,510.53 and 8,255.67 is: 12,368.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,510.53 : 8,255.67 = 8,255.67 : x
  2. Step 2: Convert to fraction form
    5,510.53/8,255.67 = 8,255.67/x
  3. Step 3: Cross multiply
    5,510.53x = 8,255.67 × 8,255.67
  4. Step 4: Simplify right side
    5,510.53x = 68,156,118.11
  5. Step 5: Solve for x
    x = 68,156,118.11/5,510.53
  6. Step 6: Final answer
    x = 12,368.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.