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Finding the Third Proportional to 2,027.81 and 4,388.06

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Solution

The third proportional to 2,027.81 and 4,388.06 is: 9,495.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.81 : 4,388.06 = 4,388.06 : x
  2. Step 2: Convert to fraction form
    2,027.81/4,388.06 = 4,388.06/x
  3. Step 3: Cross multiply
    2,027.81x = 4,388.06 × 4,388.06
  4. Step 4: Simplify right side
    2,027.81x = 19,255,092.50
  5. Step 5: Solve for x
    x = 19,255,092.50/2,027.81
  6. Step 6: Final answer
    x = 9,495.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.