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Finding the Third Proportional to 7,629.61 and 16,566.61

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Solution

The third proportional to 7,629.61 and 16,566.61 is: 35,972.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,629.61 : 16,566.61 = 16,566.61 : x
  2. Step 2: Convert to fraction form
    7,629.61/16,566.61 = 16,566.61/x
  3. Step 3: Cross multiply
    7,629.61x = 16,566.61 × 16,566.61
  4. Step 4: Simplify right side
    7,629.61x = 274,452,546.18
  5. Step 5: Solve for x
    x = 274,452,546.18/7,629.61
  6. Step 6: Final answer
    x = 35,972.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.