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Finding the Third Proportional to 10,967.91 and 23,758.31

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Solution

The third proportional to 10,967.91 and 23,758.31 is: 51,464.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.91 : 23,758.31 = 23,758.31 : x
  2. Step 2: Convert to fraction form
    10,967.91/23,758.31 = 23,758.31/x
  3. Step 3: Cross multiply
    10,967.91x = 23,758.31 × 23,758.31
  4. Step 4: Simplify right side
    10,967.91x = 564,457,412.85
  5. Step 5: Solve for x
    x = 564,457,412.85/10,967.91
  6. Step 6: Final answer
    x = 51,464.46

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.