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Finding the Third Proportional to 4,140.49 and 8,793.56

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Solution

The third proportional to 4,140.49 and 8,793.56 is: 18,675.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140.49 : 8,793.56 = 8,793.56 : x
  2. Step 2: Convert to fraction form
    4,140.49/8,793.56 = 8,793.56/x
  3. Step 3: Cross multiply
    4,140.49x = 8,793.56 × 8,793.56
  4. Step 4: Simplify right side
    4,140.49x = 77,326,741.44
  5. Step 5: Solve for x
    x = 77,326,741.44/4,140.49
  6. Step 6: Final answer
    x = 18,675.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.