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Finding the Third Proportional to 7,775.44 and 18,010.69

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Solution

The third proportional to 7,775.44 and 18,010.69 is: 41,719.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.44 : 18,010.69 = 18,010.69 : x
  2. Step 2: Convert to fraction form
    7,775.44/18,010.69 = 18,010.69/x
  3. Step 3: Cross multiply
    7,775.44x = 18,010.69 × 18,010.69
  4. Step 4: Simplify right side
    7,775.44x = 324,384,864.22
  5. Step 5: Solve for x
    x = 324,384,864.22/7,775.44
  6. Step 6: Final answer
    x = 41,719.18

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.