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Finding the Third Proportional to 4,876.31 and 10,333.69

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Solution

The third proportional to 4,876.31 and 10,333.69 is: 21,898.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,876.31 : 10,333.69 = 10,333.69 : x
  2. Step 2: Convert to fraction form
    4,876.31/10,333.69 = 10,333.69/x
  3. Step 3: Cross multiply
    4,876.31x = 10,333.69 × 10,333.69
  4. Step 4: Simplify right side
    4,876.31x = 106,785,097.35
  5. Step 5: Solve for x
    x = 106,785,097.35/4,876.31
  6. Step 6: Final answer
    x = 21,898.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.