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Finding the Third Proportional to 7,355.25 and 11,225.25

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Solution

The third proportional to 7,355.25 and 11,225.25 is: 17,131.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,355.25 : 11,225.25 = 11,225.25 : x
  2. Step 2: Convert to fraction form
    7,355.25/11,225.25 = 11,225.25/x
  3. Step 3: Cross multiply
    7,355.25x = 11,225.25 × 11,225.25
  4. Step 4: Simplify right side
    7,355.25x = 126,006,237.56
  5. Step 5: Solve for x
    x = 126,006,237.56/7,355.25
  6. Step 6: Final answer
    x = 17,131.47

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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.