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Finding the Third Proportional to 2,008.13 and 2,533.78

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Solution

The third proportional to 2,008.13 and 2,533.78 is: 3,197.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.13 : 2,533.78 = 2,533.78 : x
  2. Step 2: Convert to fraction form
    2,008.13/2,533.78 = 2,533.78/x
  3. Step 3: Cross multiply
    2,008.13x = 2,533.78 × 2,533.78
  4. Step 4: Simplify right side
    2,008.13x = 6,420,047.42
  5. Step 5: Solve for x
    x = 6,420,047.42/2,008.13
  6. Step 6: Final answer
    x = 3,197.04

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.