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Finding the Third Proportional to 7,476.75 and 8,175.38

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Solution

The third proportional to 7,476.75 and 8,175.38 is: 8,939.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,476.75 : 8,175.38 = 8,175.38 : x
  2. Step 2: Convert to fraction form
    7,476.75/8,175.38 = 8,175.38/x
  3. Step 3: Cross multiply
    7,476.75x = 8,175.38 × 8,175.38
  4. Step 4: Simplify right side
    7,476.75x = 66,836,756.39
  5. Step 5: Solve for x
    x = 66,836,756.39/7,476.75
  6. Step 6: Final answer
    x = 8,939.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.