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Finding the Third Proportional to 28,734.19 and 43,140.09

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Solution

The third proportional to 28,734.19 and 43,140.09 is: 64,768.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,734.19 : 43,140.09 = 43,140.09 : x
  2. Step 2: Convert to fraction form
    28,734.19/43,140.09 = 43,140.09/x
  3. Step 3: Cross multiply
    28,734.19x = 43,140.09 × 43,140.09
  4. Step 4: Simplify right side
    28,734.19x = 1,861,067,688.76
  5. Step 5: Solve for x
    x = 1,861,067,688.76/28,734.19
  6. Step 6: Final answer
    x = 64,768.41

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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.