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Finding the Third Proportional to 9,874 and 23,309

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Solution

The third proportional to 9,874 and 23,309 is: 55,024.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874 : 23,309 = 23,309 : x
  2. Step 2: Convert to fraction form
    9,874/23,309 = 23,309/x
  3. Step 3: Cross multiply
    9,874x = 23,309 × 23,309
  4. Step 4: Simplify right side
    9,874x = 543,309,481
  5. Step 5: Solve for x
    x = 543,309,481/9,874
  6. Step 6: Final answer
    x = 55,024.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.