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Finding the Third Proportional to 4,959.66 and 10,330.31

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Solution

The third proportional to 4,959.66 and 10,330.31 is: 21,516.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,959.66 : 10,330.31 = 10,330.31 : x
  2. Step 2: Convert to fraction form
    4,959.66/10,330.31 = 10,330.31/x
  3. Step 3: Cross multiply
    4,959.66x = 10,330.31 × 10,330.31
  4. Step 4: Simplify right side
    4,959.66x = 106,715,356.35
  5. Step 5: Solve for x
    x = 106,715,356.35/4,959.66
  6. Step 6: Final answer
    x = 21,516.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.