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Finding the Third Proportional to 15,221.06 and 23,883.38

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Solution

The third proportional to 15,221.06 and 23,883.38 is: 37,475.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,221.06 : 23,883.38 = 23,883.38 : x
  2. Step 2: Convert to fraction form
    15,221.06/23,883.38 = 23,883.38/x
  3. Step 3: Cross multiply
    15,221.06x = 23,883.38 × 23,883.38
  4. Step 4: Simplify right side
    15,221.06x = 570,415,601.39
  5. Step 5: Solve for x
    x = 570,415,601.39/15,221.06
  6. Step 6: Final answer
    x = 37,475.41

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.