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Finding the Third Proportional to 2,788.17 and 4,208.20

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Solution

The third proportional to 2,788.17 and 4,208.20 is: 6,351.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.17 : 4,208.20 = 4,208.20 : x
  2. Step 2: Convert to fraction form
    2,788.17/4,208.20 = 4,208.20/x
  3. Step 3: Cross multiply
    2,788.17x = 4,208.20 × 4,208.20
  4. Step 4: Simplify right side
    2,788.17x = 17,708,973.54
  5. Step 5: Solve for x
    x = 17,708,973.54/2,788.17
  6. Step 6: Final answer
    x = 6,351.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.