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Finding the Third Proportional to 23,189.91 and 49,659.47

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Solution

The third proportional to 23,189.91 and 49,659.47 is: 106,342.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,189.91 : 49,659.47 = 49,659.47 : x
  2. Step 2: Convert to fraction form
    23,189.91/49,659.47 = 49,659.47/x
  3. Step 3: Cross multiply
    23,189.91x = 49,659.47 × 49,659.47
  4. Step 4: Simplify right side
    23,189.91x = 2,466,062,836.53
  5. Step 5: Solve for x
    x = 2,466,062,836.53/23,189.91
  6. Step 6: Final answer
    x = 106,342.08

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.