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Finding the Third Proportional to 10,617 and 24,063

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Solution

The third proportional to 10,617 and 24,063 is: 54,537.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617 : 24,063 = 24,063 : x
  2. Step 2: Convert to fraction form
    10,617/24,063 = 24,063/x
  3. Step 3: Cross multiply
    10,617x = 24,063 × 24,063
  4. Step 4: Simplify right side
    10,617x = 579,027,969
  5. Step 5: Solve for x
    x = 579,027,969/10,617
  6. Step 6: Final answer
    x = 54,537.81

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.