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Finding the Third Proportional to 7,040.25 and 14,889.25

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Solution

The third proportional to 7,040.25 and 14,889.25 is: 31,488.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,040.25 : 14,889.25 = 14,889.25 : x
  2. Step 2: Convert to fraction form
    7,040.25/14,889.25 = 14,889.25/x
  3. Step 3: Cross multiply
    7,040.25x = 14,889.25 × 14,889.25
  4. Step 4: Simplify right side
    7,040.25x = 221,689,765.56
  5. Step 5: Solve for x
    x = 221,689,765.56/7,040.25
  6. Step 6: Final answer
    x = 31,488.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.