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Finding the Third Proportional to 7,284.75 and 11,141.25

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Solution

The third proportional to 7,284.75 and 11,141.25 is: 17,039.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.75 : 11,141.25 = 11,141.25 : x
  2. Step 2: Convert to fraction form
    7,284.75/11,141.25 = 11,141.25/x
  3. Step 3: Cross multiply
    7,284.75x = 11,141.25 × 11,141.25
  4. Step 4: Simplify right side
    7,284.75x = 124,127,451.56
  5. Step 5: Solve for x
    x = 124,127,451.56/7,284.75
  6. Step 6: Final answer
    x = 17,039.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.