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Finding the Third Proportional to 4,937.25 and 10,664.63

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Solution

The third proportional to 4,937.25 and 10,664.63 is: 23,035.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,937.25 : 10,664.63 = 10,664.63 : x
  2. Step 2: Convert to fraction form
    4,937.25/10,664.63 = 10,664.63/x
  3. Step 3: Cross multiply
    4,937.25x = 10,664.63 × 10,664.63
  4. Step 4: Simplify right side
    4,937.25x = 113,734,226.39
  5. Step 5: Solve for x
    x = 113,734,226.39/4,937.25
  6. Step 6: Final answer
    x = 23,035.95

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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.