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Finding the Third Proportional to 23,216.63 and 34,318.69

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Solution

The third proportional to 23,216.63 and 34,318.69 is: 50,729.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,216.63 : 34,318.69 = 34,318.69 : x
  2. Step 2: Convert to fraction form
    23,216.63/34,318.69 = 34,318.69/x
  3. Step 3: Cross multiply
    23,216.63x = 34,318.69 × 34,318.69
  4. Step 4: Simplify right side
    23,216.63x = 1,177,772,311.72
  5. Step 5: Solve for x
    x = 1,177,772,311.72/23,216.63
  6. Step 6: Final answer
    x = 50,729.70

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.