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Finding the Third Proportional to 1,612.13 and 4,185.56

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Solution

The third proportional to 1,612.13 and 4,185.56 is: 10,866.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.13 : 4,185.56 = 4,185.56 : x
  2. Step 2: Convert to fraction form
    1,612.13/4,185.56 = 4,185.56/x
  3. Step 3: Cross multiply
    1,612.13x = 4,185.56 × 4,185.56
  4. Step 4: Simplify right side
    1,612.13x = 17,518,933.44
  5. Step 5: Solve for x
    x = 17,518,933.44/1,612.13
  6. Step 6: Final answer
    x = 10,866.98

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.