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Finding the Third Proportional to 20,506.92 and 48,284.86

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Solution

The third proportional to 20,506.92 and 48,284.86 is: 113,689.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,506.92 : 48,284.86 = 48,284.86 : x
  2. Step 2: Convert to fraction form
    20,506.92/48,284.86 = 48,284.86/x
  3. Step 3: Cross multiply
    20,506.92x = 48,284.86 × 48,284.86
  4. Step 4: Simplify right side
    20,506.92x = 2,331,427,644.86
  5. Step 5: Solve for x
    x = 2,331,427,644.86/20,506.92
  6. Step 6: Final answer
    x = 113,689.79

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.