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Finding the Third Proportional to 10,277.38 and 21,364.75

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Solution

The third proportional to 10,277.38 and 21,364.75 is: 44,413.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,277.38 : 21,364.75 = 21,364.75 : x
  2. Step 2: Convert to fraction form
    10,277.38/21,364.75 = 21,364.75/x
  3. Step 3: Cross multiply
    10,277.38x = 21,364.75 × 21,364.75
  4. Step 4: Simplify right side
    10,277.38x = 456,452,542.56
  5. Step 5: Solve for x
    x = 456,452,542.56/10,277.38
  6. Step 6: Final answer
    x = 44,413.34

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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.