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Finding the Third Proportional to 45,002.25 and 96,930

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Solution

The third proportional to 45,002.25 and 96,930 is: 208,776.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,002.25 : 96,930 = 96,930 : x
  2. Step 2: Convert to fraction form
    45,002.25/96,930 = 96,930/x
  3. Step 3: Cross multiply
    45,002.25x = 96,930 × 96,930
  4. Step 4: Simplify right side
    45,002.25x = 9,395,424,900
  5. Step 5: Solve for x
    x = 9,395,424,900/45,002.25
  6. Step 6: Final answer
    x = 208,776.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.