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Finding the Third Proportional to 11,582 and 27,995

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Solution

The third proportional to 11,582 and 27,995 is: 67,667.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,582 : 27,995 = 27,995 : x
  2. Step 2: Convert to fraction form
    11,582/27,995 = 27,995/x
  3. Step 3: Cross multiply
    11,582x = 27,995 × 27,995
  4. Step 4: Simplify right side
    11,582x = 783,720,025
  5. Step 5: Solve for x
    x = 783,720,025/11,582
  6. Step 6: Final answer
    x = 67,667.07

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.