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Finding the Third Proportional to 1,582.03 and 3,437.44

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Solution

The third proportional to 1,582.03 and 3,437.44 is: 7,468.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.03 : 3,437.44 = 3,437.44 : x
  2. Step 2: Convert to fraction form
    1,582.03/3,437.44 = 3,437.44/x
  3. Step 3: Cross multiply
    1,582.03x = 3,437.44 × 3,437.44
  4. Step 4: Simplify right side
    1,582.03x = 11,815,976.57
  5. Step 5: Solve for x
    x = 11,815,976.57/1,582.03
  6. Step 6: Final answer
    x = 7,468.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.