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Finding the Third Proportional to 11,043.38 and 23,575.13

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Solution

The third proportional to 11,043.38 and 23,575.13 is: 50,327.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,043.38 : 23,575.13 = 23,575.13 : x
  2. Step 2: Convert to fraction form
    11,043.38/23,575.13 = 23,575.13/x
  3. Step 3: Cross multiply
    11,043.38x = 23,575.13 × 23,575.13
  4. Step 4: Simplify right side
    11,043.38x = 555,786,518.77
  5. Step 5: Solve for x
    x = 555,786,518.77/11,043.38
  6. Step 6: Final answer
    x = 50,327.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.