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Finding the Third Proportional to 9,740.25 and 18,366.75

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Solution

The third proportional to 9,740.25 and 18,366.75 is: 34,633.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740.25 : 18,366.75 = 18,366.75 : x
  2. Step 2: Convert to fraction form
    9,740.25/18,366.75 = 18,366.75/x
  3. Step 3: Cross multiply
    9,740.25x = 18,366.75 × 18,366.75
  4. Step 4: Simplify right side
    9,740.25x = 337,337,505.56
  5. Step 5: Solve for x
    x = 337,337,505.56/9,740.25
  6. Step 6: Final answer
    x = 34,633.35

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.