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Finding the Third Proportional to 23,765.91 and 51,670.41

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Solution

The third proportional to 23,765.91 and 51,670.41 is: 112,338.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,765.91 : 51,670.41 = 51,670.41 : x
  2. Step 2: Convert to fraction form
    23,765.91/51,670.41 = 51,670.41/x
  3. Step 3: Cross multiply
    23,765.91x = 51,670.41 × 51,670.41
  4. Step 4: Simplify right side
    23,765.91x = 2,669,830,882.04
  5. Step 5: Solve for x
    x = 2,669,830,882.04/23,765.91
  6. Step 6: Final answer
    x = 112,338.69

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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.