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Finding the Third Proportional to 1,008.13 and 2,108.66

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Solution

The third proportional to 1,008.13 and 2,108.66 is: 4,410.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.13 : 2,108.66 = 2,108.66 : x
  2. Step 2: Convert to fraction form
    1,008.13/2,108.66 = 2,108.66/x
  3. Step 3: Cross multiply
    1,008.13x = 2,108.66 × 2,108.66
  4. Step 4: Simplify right side
    1,008.13x = 4,446,431.18
  5. Step 5: Solve for x
    x = 4,446,431.18/1,008.13
  6. Step 6: Final answer
    x = 4,410.60

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.