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Finding the Third Proportional to 11,331 and 23,459

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Solution

The third proportional to 11,331 and 23,459 is: 48,568.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,331 : 23,459 = 23,459 : x
  2. Step 2: Convert to fraction form
    11,331/23,459 = 23,459/x
  3. Step 3: Cross multiply
    11,331x = 23,459 × 23,459
  4. Step 4: Simplify right side
    11,331x = 550,324,681
  5. Step 5: Solve for x
    x = 550,324,681/11,331
  6. Step 6: Final answer
    x = 48,568.06

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.