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Finding the Third Proportional to 4,022.16 and 8,531.16

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Solution

The third proportional to 4,022.16 and 8,531.16 is: 18,094.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,022.16 : 8,531.16 = 8,531.16 : x
  2. Step 2: Convert to fraction form
    4,022.16/8,531.16 = 8,531.16/x
  3. Step 3: Cross multiply
    4,022.16x = 8,531.16 × 8,531.16
  4. Step 4: Simplify right side
    4,022.16x = 72,780,626.96
  5. Step 5: Solve for x
    x = 72,780,626.96/4,022.16
  6. Step 6: Final answer
    x = 18,094.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.