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Finding the Third Proportional to 6,352.17 and 13,935.80

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Solution

The third proportional to 6,352.17 and 13,935.80 is: 30,573.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.17 : 13,935.80 = 13,935.80 : x
  2. Step 2: Convert to fraction form
    6,352.17/13,935.80 = 13,935.80/x
  3. Step 3: Cross multiply
    6,352.17x = 13,935.80 × 13,935.80
  4. Step 4: Simplify right side
    6,352.17x = 194,206,434.54
  5. Step 5: Solve for x
    x = 194,206,434.54/6,352.17
  6. Step 6: Final answer
    x = 30,573.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.