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Finding the Third Proportional to 49,350 and 64,793

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Solution

The third proportional to 49,350 and 64,793 is: 85,068.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,350 : 64,793 = 64,793 : x
  2. Step 2: Convert to fraction form
    49,350/64,793 = 64,793/x
  3. Step 3: Cross multiply
    49,350x = 64,793 × 64,793
  4. Step 4: Simplify right side
    49,350x = 4,198,132,849
  5. Step 5: Solve for x
    x = 4,198,132,849/49,350
  6. Step 6: Final answer
    x = 85,068.55

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.