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Finding the Third Proportional to 24,969.23 and 53,644.22

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Solution

The third proportional to 24,969.23 and 53,644.22 is: 115,249.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,969.23 : 53,644.22 = 53,644.22 : x
  2. Step 2: Convert to fraction form
    24,969.23/53,644.22 = 53,644.22/x
  3. Step 3: Cross multiply
    24,969.23x = 53,644.22 × 53,644.22
  4. Step 4: Simplify right side
    24,969.23x = 2,877,702,205.30
  5. Step 5: Solve for x
    x = 2,877,702,205.30/24,969.23
  6. Step 6: Final answer
    x = 115,249.92

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.