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Finding the Third Proportional to 7,064.25 and 11,183.63

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Solution

The third proportional to 7,064.25 and 11,183.63 is: 17,705.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.25 : 11,183.63 = 11,183.63 : x
  2. Step 2: Convert to fraction form
    7,064.25/11,183.63 = 11,183.63/x
  3. Step 3: Cross multiply
    7,064.25x = 11,183.63 × 11,183.63
  4. Step 4: Simplify right side
    7,064.25x = 125,073,468.14
  5. Step 5: Solve for x
    x = 125,073,468.14/7,064.25
  6. Step 6: Final answer
    x = 17,705.13

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.