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Finding the Third Proportional to 4,601.81 and 8,550.56

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Solution

The third proportional to 4,601.81 and 8,550.56 is: 15,887.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,601.81 : 8,550.56 = 8,550.56 : x
  2. Step 2: Convert to fraction form
    4,601.81/8,550.56 = 8,550.56/x
  3. Step 3: Cross multiply
    4,601.81x = 8,550.56 × 8,550.56
  4. Step 4: Simplify right side
    4,601.81x = 73,112,119.07
  5. Step 5: Solve for x
    x = 73,112,119.07/4,601.81
  6. Step 6: Final answer
    x = 15,887.68

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.