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Finding the Third Proportional to 10,269.75 and 21,026.25

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Solution

The third proportional to 10,269.75 and 21,026.25 is: 43,049.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,269.75 : 21,026.25 = 21,026.25 : x
  2. Step 2: Convert to fraction form
    10,269.75/21,026.25 = 21,026.25/x
  3. Step 3: Cross multiply
    10,269.75x = 21,026.25 × 21,026.25
  4. Step 4: Simplify right side
    10,269.75x = 442,103,189.06
  5. Step 5: Solve for x
    x = 442,103,189.06/10,269.75
  6. Step 6: Final answer
    x = 43,049.07

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.