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Finding the Third Proportional to 11,883 and 27,514.50

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Solution

The third proportional to 11,883 and 27,514.50 is: 63,708.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,883 : 27,514.50 = 27,514.50 : x
  2. Step 2: Convert to fraction form
    11,883/27,514.50 = 27,514.50/x
  3. Step 3: Cross multiply
    11,883x = 27,514.50 × 27,514.50
  4. Step 4: Simplify right side
    11,883x = 757,047,710.25
  5. Step 5: Solve for x
    x = 757,047,710.25/11,883
  6. Step 6: Final answer
    x = 63,708.47

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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.