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Finding the Third Proportional to 15,734.75 and 32,198.50

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Solution

The third proportional to 15,734.75 and 32,198.50 is: 65,888.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,734.75 : 32,198.50 = 32,198.50 : x
  2. Step 2: Convert to fraction form
    15,734.75/32,198.50 = 32,198.50/x
  3. Step 3: Cross multiply
    15,734.75x = 32,198.50 × 32,198.50
  4. Step 4: Simplify right side
    15,734.75x = 1,036,743,402.25
  5. Step 5: Solve for x
    x = 1,036,743,402.25/15,734.75
  6. Step 6: Final answer
    x = 65,888.77

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.