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Finding the Third Proportional to 20,827.76 and 29,464.70

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Solution

The third proportional to 20,827.76 and 29,464.70 is: 41,683.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,827.76 : 29,464.70 = 29,464.70 : x
  2. Step 2: Convert to fraction form
    20,827.76/29,464.70 = 29,464.70/x
  3. Step 3: Cross multiply
    20,827.76x = 29,464.70 × 29,464.70
  4. Step 4: Simplify right side
    20,827.76x = 868,168,500.05
  5. Step 5: Solve for x
    x = 868,168,500.05/20,827.76
  6. Step 6: Final answer
    x = 41,683.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.