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Finding the Third Proportional to 4,624.59 and 10,092.09

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Solution

The third proportional to 4,624.59 and 10,092.09 is: 22,023.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,624.59 : 10,092.09 = 10,092.09 : x
  2. Step 2: Convert to fraction form
    4,624.59/10,092.09 = 10,092.09/x
  3. Step 3: Cross multiply
    4,624.59x = 10,092.09 × 10,092.09
  4. Step 4: Simplify right side
    4,624.59x = 101,850,356.26
  5. Step 5: Solve for x
    x = 101,850,356.26/4,624.59
  6. Step 6: Final answer
    x = 22,023.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.