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Finding the Third Proportional to 9,585 and 20,007

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Solution

The third proportional to 9,585 and 20,007 is: 41,761.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585 : 20,007 = 20,007 : x
  2. Step 2: Convert to fraction form
    9,585/20,007 = 20,007/x
  3. Step 3: Cross multiply
    9,585x = 20,007 × 20,007
  4. Step 4: Simplify right side
    9,585x = 400,280,049
  5. Step 5: Solve for x
    x = 400,280,049/9,585
  6. Step 6: Final answer
    x = 41,761.09

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.