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Finding the Third Proportional to 4,699.70 and 9,793.45

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Solution

The third proportional to 4,699.70 and 9,793.45 is: 20,408.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.70 : 9,793.45 = 9,793.45 : x
  2. Step 2: Convert to fraction form
    4,699.70/9,793.45 = 9,793.45/x
  3. Step 3: Cross multiply
    4,699.70x = 9,793.45 × 9,793.45
  4. Step 4: Simplify right side
    4,699.70x = 95,911,580.65
  5. Step 5: Solve for x
    x = 95,911,580.65/4,699.70
  6. Step 6: Final answer
    x = 20,408.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.