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Finding the Third Proportional to 3,562.31 and 4,854.09

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Solution

The third proportional to 3,562.31 and 4,854.09 is: 6,614.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.31 : 4,854.09 = 4,854.09 : x
  2. Step 2: Convert to fraction form
    3,562.31/4,854.09 = 4,854.09/x
  3. Step 3: Cross multiply
    3,562.31x = 4,854.09 × 4,854.09
  4. Step 4: Simplify right side
    3,562.31x = 23,562,226.13
  5. Step 5: Solve for x
    x = 23,562,226.13/3,562.31
  6. Step 6: Final answer
    x = 6,614.31

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.