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Finding the Third Proportional to 5,194.88 and 7,790.30

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Solution

The third proportional to 5,194.88 and 7,790.30 is: 11,682.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.88 : 7,790.30 = 7,790.30 : x
  2. Step 2: Convert to fraction form
    5,194.88/7,790.30 = 7,790.30/x
  3. Step 3: Cross multiply
    5,194.88x = 7,790.30 × 7,790.30
  4. Step 4: Simplify right side
    5,194.88x = 60,688,725.40
  5. Step 5: Solve for x
    x = 60,688,725.40/5,194.88
  6. Step 6: Final answer
    x = 11,682.42

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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.