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Finding the Third Proportional to 23,097.66 and 49,475.81

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Solution

The third proportional to 23,097.66 and 49,475.81 is: 105,978.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,097.66 : 49,475.81 = 49,475.81 : x
  2. Step 2: Convert to fraction form
    23,097.66/49,475.81 = 49,475.81/x
  3. Step 3: Cross multiply
    23,097.66x = 49,475.81 × 49,475.81
  4. Step 4: Simplify right side
    23,097.66x = 2,447,856,022.54
  5. Step 5: Solve for x
    x = 2,447,856,022.54/23,097.66
  6. Step 6: Final answer
    x = 105,978.55

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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.