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Finding the Third Proportional to 9,233 and 19,007

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Solution

The third proportional to 9,233 and 19,007 is: 39,127.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233 : 19,007 = 19,007 : x
  2. Step 2: Convert to fraction form
    9,233/19,007 = 19,007/x
  3. Step 3: Cross multiply
    9,233x = 19,007 × 19,007
  4. Step 4: Simplify right side
    9,233x = 361,266,049
  5. Step 5: Solve for x
    x = 361,266,049/9,233
  6. Step 6: Final answer
    x = 39,127.70

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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.