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Finding the Third Proportional to 9,226.50 and 18,726

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Solution

The third proportional to 9,226.50 and 18,726 is: 38,006.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,226.50 : 18,726 = 18,726 : x
  2. Step 2: Convert to fraction form
    9,226.50/18,726 = 18,726/x
  3. Step 3: Cross multiply
    9,226.50x = 18,726 × 18,726
  4. Step 4: Simplify right side
    9,226.50x = 350,663,076
  5. Step 5: Solve for x
    x = 350,663,076/9,226.50
  6. Step 6: Final answer
    x = 38,006.08

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.