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Finding the Third Proportional to 2,642.44 and 4,857.56

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Solution

The third proportional to 2,642.44 and 4,857.56 is: 8,929.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.44 : 4,857.56 = 4,857.56 : x
  2. Step 2: Convert to fraction form
    2,642.44/4,857.56 = 4,857.56/x
  3. Step 3: Cross multiply
    2,642.44x = 4,857.56 × 4,857.56
  4. Step 4: Simplify right side
    2,642.44x = 23,595,913.44
  5. Step 5: Solve for x
    x = 23,595,913.44/2,642.44
  6. Step 6: Final answer
    x = 8,929.60

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.