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Finding the Third Proportional to 15,729.75 and 34,222.50

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Solution

The third proportional to 15,729.75 and 34,222.50 is: 74,456.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,729.75 : 34,222.50 = 34,222.50 : x
  2. Step 2: Convert to fraction form
    15,729.75/34,222.50 = 34,222.50/x
  3. Step 3: Cross multiply
    15,729.75x = 34,222.50 × 34,222.50
  4. Step 4: Simplify right side
    15,729.75x = 1,171,179,506.25
  5. Step 5: Solve for x
    x = 1,171,179,506.25/15,729.75
  6. Step 6: Final answer
    x = 74,456.33

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.