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Finding the Third Proportional to 7,221 and 11,142.75

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Solution

The third proportional to 7,221 and 11,142.75 is: 17,194.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221 : 11,142.75 = 11,142.75 : x
  2. Step 2: Convert to fraction form
    7,221/11,142.75 = 11,142.75/x
  3. Step 3: Cross multiply
    7,221x = 11,142.75 × 11,142.75
  4. Step 4: Simplify right side
    7,221x = 124,160,877.56
  5. Step 5: Solve for x
    x = 124,160,877.56/7,221
  6. Step 6: Final answer
    x = 17,194.42

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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.