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Finding the Third Proportional to 7,277.50 and 17,107

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Solution

The third proportional to 7,277.50 and 17,107 is: 40,212.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,277.50 : 17,107 = 17,107 : x
  2. Step 2: Convert to fraction form
    7,277.50/17,107 = 17,107/x
  3. Step 3: Cross multiply
    7,277.50x = 17,107 × 17,107
  4. Step 4: Simplify right side
    7,277.50x = 292,649,449
  5. Step 5: Solve for x
    x = 292,649,449/7,277.50
  6. Step 6: Final answer
    x = 40,212.91

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.