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Finding the Third Proportional to 9,735.75 and 18,007.31

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Solution

The third proportional to 9,735.75 and 18,007.31 is: 33,306.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.75 : 18,007.31 = 18,007.31 : x
  2. Step 2: Convert to fraction form
    9,735.75/18,007.31 = 18,007.31/x
  3. Step 3: Cross multiply
    9,735.75x = 18,007.31 × 18,007.31
  4. Step 4: Simplify right side
    9,735.75x = 324,263,303.47
  5. Step 5: Solve for x
    x = 324,263,303.47/9,735.75
  6. Step 6: Final answer
    x = 33,306.45

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.