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Finding the Third Proportional to 908.16 and 2,021.06

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Solution

The third proportional to 908.16 and 2,021.06 is: 4,497.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.16 : 2,021.06 = 2,021.06 : x
  2. Step 2: Convert to fraction form
    908.16/2,021.06 = 2,021.06/x
  3. Step 3: Cross multiply
    908.16x = 2,021.06 × 2,021.06
  4. Step 4: Simplify right side
    908.16x = 4,084,693.63
  5. Step 5: Solve for x
    x = 4,084,693.63/908.16
  6. Step 6: Final answer
    x = 4,497.79

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.