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Finding the Third Proportional to 1,442.39 and 3,006.28

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Solution

The third proportional to 1,442.39 and 3,006.28 is: 6,265.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.39 : 3,006.28 = 3,006.28 : x
  2. Step 2: Convert to fraction form
    1,442.39/3,006.28 = 3,006.28/x
  3. Step 3: Cross multiply
    1,442.39x = 3,006.28 × 3,006.28
  4. Step 4: Simplify right side
    1,442.39x = 9,037,726.95
  5. Step 5: Solve for x
    x = 9,037,726.95/1,442.39
  6. Step 6: Final answer
    x = 6,265.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.