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Finding the Third Proportional to 23,639 and 34,991.50

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Solution

The third proportional to 23,639 and 34,991.50 is: 51,795.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,639 : 34,991.50 = 34,991.50 : x
  2. Step 2: Convert to fraction form
    23,639/34,991.50 = 34,991.50/x
  3. Step 3: Cross multiply
    23,639x = 34,991.50 × 34,991.50
  4. Step 4: Simplify right side
    23,639x = 1,224,405,072.25
  5. Step 5: Solve for x
    x = 1,224,405,072.25/23,639
  6. Step 6: Final answer
    x = 51,795.98

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.