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Finding the Third Proportional to 10,182.94 and 21,709.97

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Solution

The third proportional to 10,182.94 and 21,709.97 is: 46,285.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,182.94 : 21,709.97 = 21,709.97 : x
  2. Step 2: Convert to fraction form
    10,182.94/21,709.97 = 21,709.97/x
  3. Step 3: Cross multiply
    10,182.94x = 21,709.97 × 21,709.97
  4. Step 4: Simplify right side
    10,182.94x = 471,322,743.13
  5. Step 5: Solve for x
    x = 471,322,743.13/10,182.94
  6. Step 6: Final answer
    x = 46,285.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.