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Finding the Third Proportional to 2,008.55 and 4,400.58

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Solution

The third proportional to 2,008.55 and 4,400.58 is: 9,641.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.55 : 4,400.58 = 4,400.58 : x
  2. Step 2: Convert to fraction form
    2,008.55/4,400.58 = 4,400.58/x
  3. Step 3: Cross multiply
    2,008.55x = 4,400.58 × 4,400.58
  4. Step 4: Simplify right side
    2,008.55x = 19,365,087.83
  5. Step 5: Solve for x
    x = 19,365,087.83/2,008.55
  6. Step 6: Final answer
    x = 9,641.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.