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Finding the Third Proportional to 11,842.88 and 23,668.88

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Solution

The third proportional to 11,842.88 and 23,668.88 is: 47,304.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.88 : 23,668.88 = 23,668.88 : x
  2. Step 2: Convert to fraction form
    11,842.88/23,668.88 = 23,668.88/x
  3. Step 3: Cross multiply
    11,842.88x = 23,668.88 × 23,668.88
  4. Step 4: Simplify right side
    11,842.88x = 560,215,643.77
  5. Step 5: Solve for x
    x = 560,215,643.77/11,842.88
  6. Step 6: Final answer
    x = 47,304.02

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.