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Finding the Third Proportional to 3,280.50 and 4,613.20

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Solution

The third proportional to 3,280.50 and 4,613.20 is: 6,487.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280.50 : 4,613.20 = 4,613.20 : x
  2. Step 2: Convert to fraction form
    3,280.50/4,613.20 = 4,613.20/x
  3. Step 3: Cross multiply
    3,280.50x = 4,613.20 × 4,613.20
  4. Step 4: Simplify right side
    3,280.50x = 21,281,643.07
  5. Step 5: Solve for x
    x = 21,281,643.07/3,280.50
  6. Step 6: Final answer
    x = 6,487.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.