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Finding the Third Proportional to 5,305.18 and 8,041.07

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Solution

The third proportional to 5,305.18 and 8,041.07 is: 12,187.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.18 : 8,041.07 = 8,041.07 : x
  2. Step 2: Convert to fraction form
    5,305.18/8,041.07 = 8,041.07/x
  3. Step 3: Cross multiply
    5,305.18x = 8,041.07 × 8,041.07
  4. Step 4: Simplify right side
    5,305.18x = 64,658,796.07
  5. Step 5: Solve for x
    x = 64,658,796.07/5,305.18
  6. Step 6: Final answer
    x = 12,187.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.