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Finding the Third Proportional to 1,506.41 and 3,249.18

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Solution

The third proportional to 1,506.41 and 3,249.18 is: 7,008.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.41 : 3,249.18 = 3,249.18 : x
  2. Step 2: Convert to fraction form
    1,506.41/3,249.18 = 3,249.18/x
  3. Step 3: Cross multiply
    1,506.41x = 3,249.18 × 3,249.18
  4. Step 4: Simplify right side
    1,506.41x = 10,557,143.26
  5. Step 5: Solve for x
    x = 10,557,143.26/1,506.41
  6. Step 6: Final answer
    x = 7,008.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.