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Finding the Third Proportional to 9,200.25 and 18,943.88

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Solution

The third proportional to 9,200.25 and 18,943.88 is: 39,006.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.25 : 18,943.88 = 18,943.88 : x
  2. Step 2: Convert to fraction form
    9,200.25/18,943.88 = 18,943.88/x
  3. Step 3: Cross multiply
    9,200.25x = 18,943.88 × 18,943.88
  4. Step 4: Simplify right side
    9,200.25x = 358,870,400.02
  5. Step 5: Solve for x
    x = 358,870,400.02/9,200.25
  6. Step 6: Final answer
    x = 39,006.59

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.