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Finding the Third Proportional to 15,796.13 and 23,758.31

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Solution

The third proportional to 15,796.13 and 23,758.31 is: 35,733.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,796.13 : 23,758.31 = 23,758.31 : x
  2. Step 2: Convert to fraction form
    15,796.13/23,758.31 = 23,758.31/x
  3. Step 3: Cross multiply
    15,796.13x = 23,758.31 × 23,758.31
  4. Step 4: Simplify right side
    15,796.13x = 564,457,412.85
  5. Step 5: Solve for x
    x = 564,457,412.85/15,796.13
  6. Step 6: Final answer
    x = 35,733.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.