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Finding the Third Proportional to 15,022.13 and 23,265.56

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Solution

The third proportional to 15,022.13 and 23,265.56 is: 36,032.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,022.13 : 23,265.56 = 23,265.56 : x
  2. Step 2: Convert to fraction form
    15,022.13/23,265.56 = 23,265.56/x
  3. Step 3: Cross multiply
    15,022.13x = 23,265.56 × 23,265.56
  4. Step 4: Simplify right side
    15,022.13x = 541,286,398.44
  5. Step 5: Solve for x
    x = 541,286,398.44/15,022.13
  6. Step 6: Final answer
    x = 36,032.61

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.