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Finding the Third Proportional to 10,064.44 and 21,858.56

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Solution

The third proportional to 10,064.44 and 21,858.56 is: 47,473.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,064.44 : 21,858.56 = 21,858.56 : x
  2. Step 2: Convert to fraction form
    10,064.44/21,858.56 = 21,858.56/x
  3. Step 3: Cross multiply
    10,064.44x = 21,858.56 × 21,858.56
  4. Step 4: Simplify right side
    10,064.44x = 477,796,754.57
  5. Step 5: Solve for x
    x = 477,796,754.57/10,064.44
  6. Step 6: Final answer
    x = 47,473.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.