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Finding the Third Proportional to 1,596.23 and 2,477.39

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Solution

The third proportional to 1,596.23 and 2,477.39 is: 3,844.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.23 : 2,477.39 = 2,477.39 : x
  2. Step 2: Convert to fraction form
    1,596.23/2,477.39 = 2,477.39/x
  3. Step 3: Cross multiply
    1,596.23x = 2,477.39 × 2,477.39
  4. Step 4: Simplify right side
    1,596.23x = 6,137,464.31
  5. Step 5: Solve for x
    x = 6,137,464.31/1,596.23
  6. Step 6: Final answer
    x = 3,844.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.