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Finding the Third Proportional to 5,518.76 and 8,176.57

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Solution

The third proportional to 5,518.76 and 8,176.57 is: 12,114.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,518.76 : 8,176.57 = 8,176.57 : x
  2. Step 2: Convert to fraction form
    5,518.76/8,176.57 = 8,176.57/x
  3. Step 3: Cross multiply
    5,518.76x = 8,176.57 × 8,176.57
  4. Step 4: Simplify right side
    5,518.76x = 66,856,302.08
  5. Step 5: Solve for x
    x = 66,856,302.08/5,518.76
  6. Step 6: Final answer
    x = 12,114.38

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.