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Finding the Third Proportional to 1,576.13 and 4,223.81

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Solution

The third proportional to 1,576.13 and 4,223.81 is: 11,319.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.13 : 4,223.81 = 4,223.81 : x
  2. Step 2: Convert to fraction form
    1,576.13/4,223.81 = 4,223.81/x
  3. Step 3: Cross multiply
    1,576.13x = 4,223.81 × 4,223.81
  4. Step 4: Simplify right side
    1,576.13x = 17,840,592.04
  5. Step 5: Solve for x
    x = 17,840,592.04/1,576.13
  6. Step 6: Final answer
    x = 11,319.27

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Why These Related Problems?

These problems maintain the same ratio (2.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.