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Finding the Third Proportional to 23,014.13 and 33,670.69

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Solution

The third proportional to 23,014.13 and 33,670.69 is: 49,261.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,014.13 : 33,670.69 = 33,670.69 : x
  2. Step 2: Convert to fraction form
    23,014.13/33,670.69 = 33,670.69/x
  3. Step 3: Cross multiply
    23,014.13x = 33,670.69 × 33,670.69
  4. Step 4: Simplify right side
    23,014.13x = 1,133,715,196.72
  5. Step 5: Solve for x
    x = 1,133,715,196.72/23,014.13
  6. Step 6: Final answer
    x = 49,261.71

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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.