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Finding the Third Proportional to 28,734.75 and 43,140.94

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Solution

The third proportional to 28,734.75 and 43,140.94 is: 64,769.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,734.75 : 43,140.94 = 43,140.94 : x
  2. Step 2: Convert to fraction form
    28,734.75/43,140.94 = 43,140.94/x
  3. Step 3: Cross multiply
    28,734.75x = 43,140.94 × 43,140.94
  4. Step 4: Simplify right side
    28,734.75x = 1,861,140,488.38
  5. Step 5: Solve for x
    x = 1,861,140,488.38/28,734.75
  6. Step 6: Final answer
    x = 64,769.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.