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Finding the Third Proportional to 10,415.25 and 21,296.25

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Solution

The third proportional to 10,415.25 and 21,296.25 is: 43,544.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.25 : 21,296.25 = 21,296.25 : x
  2. Step 2: Convert to fraction form
    10,415.25/21,296.25 = 21,296.25/x
  3. Step 3: Cross multiply
    10,415.25x = 21,296.25 × 21,296.25
  4. Step 4: Simplify right side
    10,415.25x = 453,530,264.06
  5. Step 5: Solve for x
    x = 453,530,264.06/10,415.25
  6. Step 6: Final answer
    x = 43,544.83

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.