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Finding the Third Proportional to 10,285.31 and 21,378.09

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Solution

The third proportional to 10,285.31 and 21,378.09 is: 44,434.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.31 : 21,378.09 = 21,378.09 : x
  2. Step 2: Convert to fraction form
    10,285.31/21,378.09 = 21,378.09/x
  3. Step 3: Cross multiply
    10,285.31x = 21,378.09 × 21,378.09
  4. Step 4: Simplify right side
    10,285.31x = 457,022,892.38
  5. Step 5: Solve for x
    x = 457,022,892.38/10,285.31
  6. Step 6: Final answer
    x = 44,434.52

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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.