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Finding the Third Proportional to 1,574.25 and 3,335.44

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Solution

The third proportional to 1,574.25 and 3,335.44 is: 7,066.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.25 : 3,335.44 = 3,335.44 : x
  2. Step 2: Convert to fraction form
    1,574.25/3,335.44 = 3,335.44/x
  3. Step 3: Cross multiply
    1,574.25x = 3,335.44 × 3,335.44
  4. Step 4: Simplify right side
    1,574.25x = 11,125,143.32
  5. Step 5: Solve for x
    x = 11,125,143.32/1,574.25
  6. Step 6: Final answer
    x = 7,066.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.