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Finding the Third Proportional to 24,255.25 and 53,019.44

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Solution

The third proportional to 24,255.25 and 53,019.44 is: 115,894.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,255.25 : 53,019.44 = 53,019.44 : x
  2. Step 2: Convert to fraction form
    24,255.25/53,019.44 = 53,019.44/x
  3. Step 3: Cross multiply
    24,255.25x = 53,019.44 × 53,019.44
  4. Step 4: Simplify right side
    24,255.25x = 2,811,060,752.82
  5. Step 5: Solve for x
    x = 2,811,060,752.82/24,255.25
  6. Step 6: Final answer
    x = 115,894.94

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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.