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Finding the Third Proportional to 23,019.75 and 49,306.50

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Solution

The third proportional to 23,019.75 and 49,306.50 is: 105,610.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,019.75 : 49,306.50 = 49,306.50 : x
  2. Step 2: Convert to fraction form
    23,019.75/49,306.50 = 49,306.50/x
  3. Step 3: Cross multiply
    23,019.75x = 49,306.50 × 49,306.50
  4. Step 4: Simplify right side
    23,019.75x = 2,431,130,942.25
  5. Step 5: Solve for x
    x = 2,431,130,942.25/23,019.75
  6. Step 6: Final answer
    x = 105,610.66

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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.