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Finding the Third Proportional to 5,320.85 and 11,574.30

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Solution

The third proportional to 5,320.85 and 11,574.30 is: 25,177.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,320.85 : 11,574.30 = 11,574.30 : x
  2. Step 2: Convert to fraction form
    5,320.85/11,574.30 = 11,574.30/x
  3. Step 3: Cross multiply
    5,320.85x = 11,574.30 × 11,574.30
  4. Step 4: Simplify right side
    5,320.85x = 133,964,393.36
  5. Step 5: Solve for x
    x = 133,964,393.36/5,320.85
  6. Step 6: Final answer
    x = 25,177.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.