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Finding the Third Proportional to 11,984.63 and 27,151.88

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Solution

The third proportional to 11,984.63 and 27,151.88 is: 61,514.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,984.63 : 27,151.88 = 27,151.88 : x
  2. Step 2: Convert to fraction form
    11,984.63/27,151.88 = 27,151.88/x
  3. Step 3: Cross multiply
    11,984.63x = 27,151.88 × 27,151.88
  4. Step 4: Simplify right side
    11,984.63x = 737,224,316.02
  5. Step 5: Solve for x
    x = 737,224,316.02/11,984.63
  6. Step 6: Final answer
    x = 61,514.17

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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.