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Finding the Third Proportional to 7,301.25 and 11,438.44

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Solution

The third proportional to 7,301.25 and 11,438.44 is: 17,919.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,301.25 : 11,438.44 = 11,438.44 : x
  2. Step 2: Convert to fraction form
    7,301.25/11,438.44 = 11,438.44/x
  3. Step 3: Cross multiply
    7,301.25x = 11,438.44 × 11,438.44
  4. Step 4: Simplify right side
    7,301.25x = 130,837,852.44
  5. Step 5: Solve for x
    x = 130,837,852.44/7,301.25
  6. Step 6: Final answer
    x = 17,919.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.