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Finding the Third Proportional to 11,566.63 and 24,887.25

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Solution

The third proportional to 11,566.63 and 24,887.25 is: 53,548.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,566.63 : 24,887.25 = 24,887.25 : x
  2. Step 2: Convert to fraction form
    11,566.63/24,887.25 = 24,887.25/x
  3. Step 3: Cross multiply
    11,566.63x = 24,887.25 × 24,887.25
  4. Step 4: Simplify right side
    11,566.63x = 619,375,212.56
  5. Step 5: Solve for x
    x = 619,375,212.56/11,566.63
  6. Step 6: Final answer
    x = 53,548.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.