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Finding the Third Proportional to 5,866.13 and 8,552.81

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Solution

The third proportional to 5,866.13 and 8,552.81 is: 12,470.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,866.13 : 8,552.81 = 8,552.81 : x
  2. Step 2: Convert to fraction form
    5,866.13/8,552.81 = 8,552.81/x
  3. Step 3: Cross multiply
    5,866.13x = 8,552.81 × 8,552.81
  4. Step 4: Simplify right side
    5,866.13x = 73,150,601.66
  5. Step 5: Solve for x
    x = 73,150,601.66/5,866.13
  6. Step 6: Final answer
    x = 12,470.00

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.