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Finding the Third Proportional to 2,775.83 and 4,394.88

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Solution

The third proportional to 2,775.83 and 4,394.88 is: 6,958.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.83 : 4,394.88 = 4,394.88 : x
  2. Step 2: Convert to fraction form
    2,775.83/4,394.88 = 4,394.88/x
  3. Step 3: Cross multiply
    2,775.83x = 4,394.88 × 4,394.88
  4. Step 4: Simplify right side
    2,775.83x = 19,314,994.94
  5. Step 5: Solve for x
    x = 19,314,994.94/2,775.83
  6. Step 6: Final answer
    x = 6,958.27

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.