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Finding the Third Proportional to 6,797.75 and 9,933.75

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Solution

The third proportional to 6,797.75 and 9,933.75 is: 14,516.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,797.75 : 9,933.75 = 9,933.75 : x
  2. Step 2: Convert to fraction form
    6,797.75/9,933.75 = 9,933.75/x
  3. Step 3: Cross multiply
    6,797.75x = 9,933.75 × 9,933.75
  4. Step 4: Simplify right side
    6,797.75x = 98,679,389.06
  5. Step 5: Solve for x
    x = 98,679,389.06/6,797.75
  6. Step 6: Final answer
    x = 14,516.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.