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Finding the Third Proportional to 23,345.50 and 49,971.50

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Solution

The third proportional to 23,345.50 and 49,971.50 is: 106,964.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,345.50 : 49,971.50 = 49,971.50 : x
  2. Step 2: Convert to fraction form
    23,345.50/49,971.50 = 49,971.50/x
  3. Step 3: Cross multiply
    23,345.50x = 49,971.50 × 49,971.50
  4. Step 4: Simplify right side
    23,345.50x = 2,497,150,812.25
  5. Step 5: Solve for x
    x = 2,497,150,812.25/23,345.50
  6. Step 6: Final answer
    x = 106,964.97

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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.