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Finding the Third Proportional to 7,165.13 and 14,951.25

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Solution

The third proportional to 7,165.13 and 14,951.25 is: 31,198.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.13 : 14,951.25 = 14,951.25 : x
  2. Step 2: Convert to fraction form
    7,165.13/14,951.25 = 14,951.25/x
  3. Step 3: Cross multiply
    7,165.13x = 14,951.25 × 14,951.25
  4. Step 4: Simplify right side
    7,165.13x = 223,539,876.56
  5. Step 5: Solve for x
    x = 223,539,876.56/7,165.13
  6. Step 6: Final answer
    x = 31,198.32

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.