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Finding the Third Proportional to 25,269.47 and 55,021.78

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Solution

The third proportional to 25,269.47 and 55,021.78 is: 119,804.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,269.47 : 55,021.78 = 55,021.78 : x
  2. Step 2: Convert to fraction form
    25,269.47/55,021.78 = 55,021.78/x
  3. Step 3: Cross multiply
    25,269.47x = 55,021.78 × 55,021.78
  4. Step 4: Simplify right side
    25,269.47x = 3,027,396,411.92
  5. Step 5: Solve for x
    x = 3,027,396,411.92/25,269.47
  6. Step 6: Final answer
    x = 119,804.51

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.