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Finding the Third Proportional to 6,330 and 7,482

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Solution

The third proportional to 6,330 and 7,482 is: 8,843.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,330 : 7,482 = 7,482 : x
  2. Step 2: Convert to fraction form
    6,330/7,482 = 7,482/x
  3. Step 3: Cross multiply
    6,330x = 7,482 × 7,482
  4. Step 4: Simplify right side
    6,330x = 55,980,324
  5. Step 5: Solve for x
    x = 55,980,324/6,330
  6. Step 6: Final answer
    x = 8,843.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.