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Finding the Third Proportional to 2,844.84 and 4,365.98

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Solution

The third proportional to 2,844.84 and 4,365.98 is: 6,700.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844.84 : 4,365.98 = 4,365.98 : x
  2. Step 2: Convert to fraction form
    2,844.84/4,365.98 = 4,365.98/x
  3. Step 3: Cross multiply
    2,844.84x = 4,365.98 × 4,365.98
  4. Step 4: Simplify right side
    2,844.84x = 19,061,819.56
  5. Step 5: Solve for x
    x = 19,061,819.56/2,844.84
  6. Step 6: Final answer
    x = 6,700.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.