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Finding the Third Proportional to 5,195.63 and 10,697.63

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Solution

The third proportional to 5,195.63 and 10,697.63 is: 22,026.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.63 : 10,697.63 = 10,697.63 : x
  2. Step 2: Convert to fraction form
    5,195.63/10,697.63 = 10,697.63/x
  3. Step 3: Cross multiply
    5,195.63x = 10,697.63 × 10,697.63
  4. Step 4: Simplify right side
    5,195.63x = 114,439,180.64
  5. Step 5: Solve for x
    x = 114,439,180.64/5,195.63
  6. Step 6: Final answer
    x = 22,026.07

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.