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Finding the Third Proportional to 7,697.53 and 16,596.14

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Solution

The third proportional to 7,697.53 and 16,596.14 is: 35,781.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.53 : 16,596.14 = 16,596.14 : x
  2. Step 2: Convert to fraction form
    7,697.53/16,596.14 = 16,596.14/x
  3. Step 3: Cross multiply
    7,697.53x = 16,596.14 × 16,596.14
  4. Step 4: Simplify right side
    7,697.53x = 275,431,883.64
  5. Step 5: Solve for x
    x = 275,431,883.64/7,697.53
  6. Step 6: Final answer
    x = 35,781.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.