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Finding the Third Proportional to 25,574.91 and 55,523.81

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Solution

The third proportional to 25,574.91 and 55,523.81 is: 120,543.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,574.91 : 55,523.81 = 55,523.81 : x
  2. Step 2: Convert to fraction form
    25,574.91/55,523.81 = 55,523.81/x
  3. Step 3: Cross multiply
    25,574.91x = 55,523.81 × 55,523.81
  4. Step 4: Simplify right side
    25,574.91x = 3,082,893,754.54
  5. Step 5: Solve for x
    x = 3,082,893,754.54/25,574.91
  6. Step 6: Final answer
    x = 120,543.70

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.