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Finding the Third Proportional to 3,650.06 and 8,327.81

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Solution

The third proportional to 3,650.06 and 8,327.81 is: 19,000.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650.06 : 8,327.81 = 8,327.81 : x
  2. Step 2: Convert to fraction form
    3,650.06/8,327.81 = 8,327.81/x
  3. Step 3: Cross multiply
    3,650.06x = 8,327.81 × 8,327.81
  4. Step 4: Simplify right side
    3,650.06x = 69,352,461.04
  5. Step 5: Solve for x
    x = 69,352,461.04/3,650.06
  6. Step 6: Final answer
    x = 19,000.35

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.