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Finding the Third Proportional to 9,071 and 19,243

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Solution

The third proportional to 9,071 and 19,243 is: 40,821.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,071 : 19,243 = 19,243 : x
  2. Step 2: Convert to fraction form
    9,071/19,243 = 19,243/x
  3. Step 3: Cross multiply
    9,071x = 19,243 × 19,243
  4. Step 4: Simplify right side
    9,071x = 370,293,049
  5. Step 5: Solve for x
    x = 370,293,049/9,071
  6. Step 6: Final answer
    x = 40,821.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.