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Finding the Third Proportional to 22,949.44 and 35,105.06

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Solution

The third proportional to 22,949.44 and 35,105.06 is: 53,699.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,949.44 : 35,105.06 = 35,105.06 : x
  2. Step 2: Convert to fraction form
    22,949.44/35,105.06 = 35,105.06/x
  3. Step 3: Cross multiply
    22,949.44x = 35,105.06 × 35,105.06
  4. Step 4: Simplify right side
    22,949.44x = 1,232,365,413.13
  5. Step 5: Solve for x
    x = 1,232,365,413.13/22,949.44
  6. Step 6: Final answer
    x = 53,699.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.