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Finding the Third Proportional to 1,625.44 and 3,835.75

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Solution

The third proportional to 1,625.44 and 3,835.75 is: 9,051.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625.44 : 3,835.75 = 3,835.75 : x
  2. Step 2: Convert to fraction form
    1,625.44/3,835.75 = 3,835.75/x
  3. Step 3: Cross multiply
    1,625.44x = 3,835.75 × 3,835.75
  4. Step 4: Simplify right side
    1,625.44x = 14,712,978.06
  5. Step 5: Solve for x
    x = 14,712,978.06/1,625.44
  6. Step 6: Final answer
    x = 9,051.70

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.