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Finding the Third Proportional to 15,628.50 and 33,093

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Solution

The third proportional to 15,628.50 and 33,093 is: 70,073.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,628.50 : 33,093 = 33,093 : x
  2. Step 2: Convert to fraction form
    15,628.50/33,093 = 33,093/x
  3. Step 3: Cross multiply
    15,628.50x = 33,093 × 33,093
  4. Step 4: Simplify right side
    15,628.50x = 1,095,146,649
  5. Step 5: Solve for x
    x = 1,095,146,649/15,628.50
  6. Step 6: Final answer
    x = 70,073.69

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.