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Finding the Third Proportional to 11,159.63 and 23,245.13

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Solution

The third proportional to 11,159.63 and 23,245.13 is: 48,418.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,159.63 : 23,245.13 = 23,245.13 : x
  2. Step 2: Convert to fraction form
    11,159.63/23,245.13 = 23,245.13/x
  3. Step 3: Cross multiply
    11,159.63x = 23,245.13 × 23,245.13
  4. Step 4: Simplify right side
    11,159.63x = 540,335,836.27
  5. Step 5: Solve for x
    x = 540,335,836.27/11,159.63
  6. Step 6: Final answer
    x = 48,418.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.