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Finding the Third Proportional to 6,052.25 and 8,334.25

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Solution

The third proportional to 6,052.25 and 8,334.25 is: 11,476.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,052.25 : 8,334.25 = 8,334.25 : x
  2. Step 2: Convert to fraction form
    6,052.25/8,334.25 = 8,334.25/x
  3. Step 3: Cross multiply
    6,052.25x = 8,334.25 × 8,334.25
  4. Step 4: Simplify right side
    6,052.25x = 69,459,723.06
  5. Step 5: Solve for x
    x = 69,459,723.06/6,052.25
  6. Step 6: Final answer
    x = 11,476.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.