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Finding the Third Proportional to 3,727.55 and 8,038.92

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Solution

The third proportional to 3,727.55 and 8,038.92 is: 17,336.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,727.55 : 8,038.92 = 8,038.92 : x
  2. Step 2: Convert to fraction form
    3,727.55/8,038.92 = 8,038.92/x
  3. Step 3: Cross multiply
    3,727.55x = 8,038.92 × 8,038.92
  4. Step 4: Simplify right side
    3,727.55x = 64,624,264.91
  5. Step 5: Solve for x
    x = 64,624,264.91/3,727.55
  6. Step 6: Final answer
    x = 17,336.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.