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Finding the Third Proportional to 11,221.88 and 23,605.88

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Solution

The third proportional to 11,221.88 and 23,605.88 is: 49,656.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,221.88 : 23,605.88 = 23,605.88 : x
  2. Step 2: Convert to fraction form
    11,221.88/23,605.88 = 23,605.88/x
  3. Step 3: Cross multiply
    11,221.88x = 23,605.88 × 23,605.88
  4. Step 4: Simplify right side
    11,221.88x = 557,237,334.52
  5. Step 5: Solve for x
    x = 557,237,334.52/11,221.88
  6. Step 6: Final answer
    x = 49,656.35

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.