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Finding the Third Proportional to 9,267.75 and 18,076.50

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Solution

The third proportional to 9,267.75 and 18,076.50 is: 35,257.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,267.75 : 18,076.50 = 18,076.50 : x
  2. Step 2: Convert to fraction form
    9,267.75/18,076.50 = 18,076.50/x
  3. Step 3: Cross multiply
    9,267.75x = 18,076.50 × 18,076.50
  4. Step 4: Simplify right side
    9,267.75x = 326,759,852.25
  5. Step 5: Solve for x
    x = 326,759,852.25/9,267.75
  6. Step 6: Final answer
    x = 35,257.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.