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Finding the Third Proportional to 3,753.42 and 8,688.23

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Solution

The third proportional to 3,753.42 and 8,688.23 is: 20,111.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.42 : 8,688.23 = 8,688.23 : x
  2. Step 2: Convert to fraction form
    3,753.42/8,688.23 = 8,688.23/x
  3. Step 3: Cross multiply
    3,753.42x = 8,688.23 × 8,688.23
  4. Step 4: Simplify right side
    3,753.42x = 75,485,416.55
  5. Step 5: Solve for x
    x = 75,485,416.55/3,753.42
  6. Step 6: Final answer
    x = 20,111.09

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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.