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Finding the Third Proportional to 10,697.93 and 16,629.84

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Solution

The third proportional to 10,697.93 and 16,629.84 is: 25,850.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.93 : 16,629.84 = 16,629.84 : x
  2. Step 2: Convert to fraction form
    10,697.93/16,629.84 = 16,629.84/x
  3. Step 3: Cross multiply
    10,697.93x = 16,629.84 × 16,629.84
  4. Step 4: Simplify right side
    10,697.93x = 276,551,508.27
  5. Step 5: Solve for x
    x = 276,551,508.27/10,697.93
  6. Step 6: Final answer
    x = 25,850.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.