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Finding the Third Proportional to 7,179.75 and 15,775.03

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Solution

The third proportional to 7,179.75 and 15,775.03 is: 34,660.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,179.75 : 15,775.03 = 15,775.03 : x
  2. Step 2: Convert to fraction form
    7,179.75/15,775.03 = 15,775.03/x
  3. Step 3: Cross multiply
    7,179.75x = 15,775.03 × 15,775.03
  4. Step 4: Simplify right side
    7,179.75x = 248,851,610.94
  5. Step 5: Solve for x
    x = 248,851,610.94/7,179.75
  6. Step 6: Final answer
    x = 34,660.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.