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Finding the Third Proportional to 5,205.94 and 10,607.63

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Solution

The third proportional to 5,205.94 and 10,607.63 is: 21,614.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.94 : 10,607.63 = 10,607.63 : x
  2. Step 2: Convert to fraction form
    5,205.94/10,607.63 = 10,607.63/x
  3. Step 3: Cross multiply
    5,205.94x = 10,607.63 × 10,607.63
  4. Step 4: Simplify right side
    5,205.94x = 112,521,708.14
  5. Step 5: Solve for x
    x = 112,521,708.14/5,205.94
  6. Step 6: Final answer
    x = 21,614.11

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.