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Finding the Third Proportional to 2,168.02 and 4,613.20

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Solution

The third proportional to 2,168.02 and 4,613.20 is: 9,816.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.02 : 4,613.20 = 4,613.20 : x
  2. Step 2: Convert to fraction form
    2,168.02/4,613.20 = 4,613.20/x
  3. Step 3: Cross multiply
    2,168.02x = 4,613.20 × 4,613.20
  4. Step 4: Simplify right side
    2,168.02x = 21,281,643.07
  5. Step 5: Solve for x
    x = 21,281,643.07/2,168.02
  6. Step 6: Final answer
    x = 9,816.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.