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Finding the Third Proportional to 10,151.44 and 21,413.53

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Solution

The third proportional to 10,151.44 and 21,413.53 is: 45,169.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,151.44 : 21,413.53 = 21,413.53 : x
  2. Step 2: Convert to fraction form
    10,151.44/21,413.53 = 21,413.53/x
  3. Step 3: Cross multiply
    10,151.44x = 21,413.53 × 21,413.53
  4. Step 4: Simplify right side
    10,151.44x = 458,539,320.59
  5. Step 5: Solve for x
    x = 458,539,320.59/10,151.44
  6. Step 6: Final answer
    x = 45,169.89

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.