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Finding the Third Proportional to 1,616.63 and 3,598.59

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Solution

The third proportional to 1,616.63 and 3,598.59 is: 8,010.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.63 : 3,598.59 = 3,598.59 : x
  2. Step 2: Convert to fraction form
    1,616.63/3,598.59 = 3,598.59/x
  3. Step 3: Cross multiply
    1,616.63x = 3,598.59 × 3,598.59
  4. Step 4: Simplify right side
    1,616.63x = 12,949,876.98
  5. Step 5: Solve for x
    x = 12,949,876.98/1,616.63
  6. Step 6: Final answer
    x = 8,010.44

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.