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Finding the Third Proportional to 23,455.69 and 34,562.81

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Solution

The third proportional to 23,455.69 and 34,562.81 is: 50,929.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,455.69 : 34,562.81 = 34,562.81 : x
  2. Step 2: Convert to fraction form
    23,455.69/34,562.81 = 34,562.81/x
  3. Step 3: Cross multiply
    23,455.69x = 34,562.81 × 34,562.81
  4. Step 4: Simplify right side
    23,455.69x = 1,194,588,007.91
  5. Step 5: Solve for x
    x = 1,194,588,007.91/23,455.69
  6. Step 6: Final answer
    x = 50,929.57

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.