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Finding the Third Proportional to 9,141 and 19,001

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Solution

The third proportional to 9,141 and 19,001 is: 39,496.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141 : 19,001 = 19,001 : x
  2. Step 2: Convert to fraction form
    9,141/19,001 = 19,001/x
  3. Step 3: Cross multiply
    9,141x = 19,001 × 19,001
  4. Step 4: Simplify right side
    9,141x = 361,038,001
  5. Step 5: Solve for x
    x = 361,038,001/9,141
  6. Step 6: Final answer
    x = 39,496.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.