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Finding the Third Proportional to 4,025.53 and 8,164.76

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Solution

The third proportional to 4,025.53 and 8,164.76 is: 16,560.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,025.53 : 8,164.76 = 8,164.76 : x
  2. Step 2: Convert to fraction form
    4,025.53/8,164.76 = 8,164.76/x
  3. Step 3: Cross multiply
    4,025.53x = 8,164.76 × 8,164.76
  4. Step 4: Simplify right side
    4,025.53x = 66,663,270.14
  5. Step 5: Solve for x
    x = 66,663,270.14/4,025.53
  6. Step 6: Final answer
    x = 16,560.12

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.