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Finding the Third Proportional to 7,072.13 and 15,226.31

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Solution

The third proportional to 7,072.13 and 15,226.31 is: 32,782.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,072.13 : 15,226.31 = 15,226.31 : x
  2. Step 2: Convert to fraction form
    7,072.13/15,226.31 = 15,226.31/x
  3. Step 3: Cross multiply
    7,072.13x = 15,226.31 × 15,226.31
  4. Step 4: Simplify right side
    7,072.13x = 231,840,592.35
  5. Step 5: Solve for x
    x = 231,840,592.35/7,072.13
  6. Step 6: Final answer
    x = 32,782.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.