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Finding the Third Proportional to 3,834.84 and 4,482.21

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Solution

The third proportional to 3,834.84 and 4,482.21 is: 5,238.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.84 : 4,482.21 = 4,482.21 : x
  2. Step 2: Convert to fraction form
    3,834.84/4,482.21 = 4,482.21/x
  3. Step 3: Cross multiply
    3,834.84x = 4,482.21 × 4,482.21
  4. Step 4: Simplify right side
    3,834.84x = 20,090,214.89
  5. Step 5: Solve for x
    x = 20,090,214.89/3,834.84
  6. Step 6: Final answer
    x = 5,238.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.