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Finding the Third Proportional to 16,174.69 and 23,663.81

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Solution

The third proportional to 16,174.69 and 23,663.81 is: 34,620.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,174.69 : 23,663.81 = 23,663.81 : x
  2. Step 2: Convert to fraction form
    16,174.69/23,663.81 = 23,663.81/x
  3. Step 3: Cross multiply
    16,174.69x = 23,663.81 × 23,663.81
  4. Step 4: Simplify right side
    16,174.69x = 559,976,022.04
  5. Step 5: Solve for x
    x = 559,976,022.04/16,174.69
  6. Step 6: Final answer
    x = 34,620.52

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.