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Finding the Third Proportional to 3,289.99 and 7,043.20

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Solution

The third proportional to 3,289.99 and 7,043.20 is: 15,078.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.99 : 7,043.20 = 7,043.20 : x
  2. Step 2: Convert to fraction form
    3,289.99/7,043.20 = 7,043.20/x
  3. Step 3: Cross multiply
    3,289.99x = 7,043.20 × 7,043.20
  4. Step 4: Simplify right side
    3,289.99x = 49,606,710.26
  5. Step 5: Solve for x
    x = 49,606,710.26/3,289.99
  6. Step 6: Final answer
    x = 15,078.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.