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Finding the Third Proportional to 20,325.38 and 48,953.81

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Solution

The third proportional to 20,325.38 and 48,953.81 is: 117,905.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,325.38 : 48,953.81 = 48,953.81 : x
  2. Step 2: Convert to fraction form
    20,325.38/48,953.81 = 48,953.81/x
  3. Step 3: Cross multiply
    20,325.38x = 48,953.81 × 48,953.81
  4. Step 4: Simplify right side
    20,325.38x = 2,396,475,758.29
  5. Step 5: Solve for x
    x = 2,396,475,758.29/20,325.38
  6. Step 6: Final answer
    x = 117,905.61

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.