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Finding the Third Proportional to 1,773.62 and 3,858.10

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Solution

The third proportional to 1,773.62 and 3,858.10 is: 8,392.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.62 : 3,858.10 = 3,858.10 : x
  2. Step 2: Convert to fraction form
    1,773.62/3,858.10 = 3,858.10/x
  3. Step 3: Cross multiply
    1,773.62x = 3,858.10 × 3,858.10
  4. Step 4: Simplify right side
    1,773.62x = 14,884,932.60
  5. Step 5: Solve for x
    x = 14,884,932.60/1,773.62
  6. Step 6: Final answer
    x = 8,392.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.