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Finding the Third Proportional to 11,533 and 23,543

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Solution

The third proportional to 11,533 and 23,543 is: 48,059.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,533 : 23,543 = 23,543 : x
  2. Step 2: Convert to fraction form
    11,533/23,543 = 23,543/x
  3. Step 3: Cross multiply
    11,533x = 23,543 × 23,543
  4. Step 4: Simplify right side
    11,533x = 554,272,849
  5. Step 5: Solve for x
    x = 554,272,849/11,533
  6. Step 6: Final answer
    x = 48,059.73

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.