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Finding the Third Proportional to 7,272.75 and 11,192.63

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Solution

The third proportional to 7,272.75 and 11,192.63 is: 17,225.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,272.75 : 11,192.63 = 11,192.63 : x
  2. Step 2: Convert to fraction form
    7,272.75/11,192.63 = 11,192.63/x
  3. Step 3: Cross multiply
    7,272.75x = 11,192.63 × 11,192.63
  4. Step 4: Simplify right side
    7,272.75x = 125,274,854.39
  5. Step 5: Solve for x
    x = 125,274,854.39/7,272.75
  6. Step 6: Final answer
    x = 17,225.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.