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Finding the Third Proportional to 9,275.25 and 18,874.25

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Solution

The third proportional to 9,275.25 and 18,874.25 is: 38,407.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,275.25 : 18,874.25 = 18,874.25 : x
  2. Step 2: Convert to fraction form
    9,275.25/18,874.25 = 18,874.25/x
  3. Step 3: Cross multiply
    9,275.25x = 18,874.25 × 18,874.25
  4. Step 4: Simplify right side
    9,275.25x = 356,237,313.06
  5. Step 5: Solve for x
    x = 356,237,313.06/9,275.25
  6. Step 6: Final answer
    x = 38,407.30

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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.