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Finding the Third Proportional to 11,952 and 27,774

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Solution

The third proportional to 11,952 and 27,774 is: 64,541.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,952 : 27,774 = 27,774 : x
  2. Step 2: Convert to fraction form
    11,952/27,774 = 27,774/x
  3. Step 3: Cross multiply
    11,952x = 27,774 × 27,774
  4. Step 4: Simplify right side
    11,952x = 771,395,076
  5. Step 5: Solve for x
    x = 771,395,076/11,952
  6. Step 6: Final answer
    x = 64,541.09

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.