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Finding the Third Proportional to 10,941 and 23,523

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Solution

The third proportional to 10,941 and 23,523 is: 50,574.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,941 : 23,523 = 23,523 : x
  2. Step 2: Convert to fraction form
    10,941/23,523 = 23,523/x
  3. Step 3: Cross multiply
    10,941x = 23,523 × 23,523
  4. Step 4: Simplify right side
    10,941x = 553,331,529
  5. Step 5: Solve for x
    x = 553,331,529/10,941
  6. Step 6: Final answer
    x = 50,574.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.