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Finding the Third Proportional to 14,413.17 and 22,608.02

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Solution

The third proportional to 14,413.17 and 22,608.02 is: 35,462.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,413.17 : 22,608.02 = 22,608.02 : x
  2. Step 2: Convert to fraction form
    14,413.17/22,608.02 = 22,608.02/x
  3. Step 3: Cross multiply
    14,413.17x = 22,608.02 × 22,608.02
  4. Step 4: Simplify right side
    14,413.17x = 511,122,458.81
  5. Step 5: Solve for x
    x = 511,122,458.81/14,413.17
  6. Step 6: Final answer
    x = 35,462.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.