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Finding the Third Proportional to 24,661.13 and 53,949.38

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Solution

The third proportional to 24,661.13 and 53,949.38 is: 118,021.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,661.13 : 53,949.38 = 53,949.38 : x
  2. Step 2: Convert to fraction form
    24,661.13/53,949.38 = 53,949.38/x
  3. Step 3: Cross multiply
    24,661.13x = 53,949.38 × 53,949.38
  4. Step 4: Simplify right side
    24,661.13x = 2,910,535,062.89
  5. Step 5: Solve for x
    x = 2,910,535,062.89/24,661.13
  6. Step 6: Final answer
    x = 118,021.18

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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.