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Finding the Third Proportional to 24,198.94 and 53,055.38

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Solution

The third proportional to 24,198.94 and 53,055.38 is: 116,322.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,198.94 : 53,055.38 = 53,055.38 : x
  2. Step 2: Convert to fraction form
    24,198.94/53,055.38 = 53,055.38/x
  3. Step 3: Cross multiply
    24,198.94x = 53,055.38 × 53,055.38
  4. Step 4: Simplify right side
    24,198.94x = 2,814,872,816.39
  5. Step 5: Solve for x
    x = 2,814,872,816.39/24,198.94
  6. Step 6: Final answer
    x = 116,322.17

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.