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Finding the Third Proportional to 1,773.35 and 3,865.64

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Solution

The third proportional to 1,773.35 and 3,865.64 is: 8,426.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.35 : 3,865.64 = 3,865.64 : x
  2. Step 2: Convert to fraction form
    1,773.35/3,865.64 = 3,865.64/x
  3. Step 3: Cross multiply
    1,773.35x = 3,865.64 × 3,865.64
  4. Step 4: Simplify right side
    1,773.35x = 14,943,177.44
  5. Step 5: Solve for x
    x = 14,943,177.44/1,773.35
  6. Step 6: Final answer
    x = 8,426.52

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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.