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Finding the Third Proportional to 11,463 and 23,491

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Solution

The third proportional to 11,463 and 23,491 is: 48,139.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,463 : 23,491 = 23,491 : x
  2. Step 2: Convert to fraction form
    11,463/23,491 = 23,491/x
  3. Step 3: Cross multiply
    11,463x = 23,491 × 23,491
  4. Step 4: Simplify right side
    11,463x = 551,827,081
  5. Step 5: Solve for x
    x = 551,827,081/11,463
  6. Step 6: Final answer
    x = 48,139.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.