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Finding the Third Proportional to 6,322.75 and 9,107.50

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Solution

The third proportional to 6,322.75 and 9,107.50 is: 13,118.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.75 : 9,107.50 = 9,107.50 : x
  2. Step 2: Convert to fraction form
    6,322.75/9,107.50 = 9,107.50/x
  3. Step 3: Cross multiply
    6,322.75x = 9,107.50 × 9,107.50
  4. Step 4: Simplify right side
    6,322.75x = 82,946,556.25
  5. Step 5: Solve for x
    x = 82,946,556.25/6,322.75
  6. Step 6: Final answer
    x = 13,118.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.