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Finding the Third Proportional to 3,753.42 and 8,688.16

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Solution

The third proportional to 3,753.42 and 8,688.16 is: 20,110.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.42 : 8,688.16 = 8,688.16 : x
  2. Step 2: Convert to fraction form
    3,753.42/8,688.16 = 8,688.16/x
  3. Step 3: Cross multiply
    3,753.42x = 8,688.16 × 8,688.16
  4. Step 4: Simplify right side
    3,753.42x = 75,484,194.78
  5. Step 5: Solve for x
    x = 75,484,194.78/3,753.42
  6. Step 6: Final answer
    x = 20,110.77

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.