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Finding the Third Proportional to 1,506.56 and 3,244.44

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Solution

The third proportional to 1,506.56 and 3,244.44 is: 6,987.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.56 : 3,244.44 = 3,244.44 : x
  2. Step 2: Convert to fraction form
    1,506.56/3,244.44 = 3,244.44/x
  3. Step 3: Cross multiply
    1,506.56x = 3,244.44 × 3,244.44
  4. Step 4: Simplify right side
    1,506.56x = 10,526,374.69
  5. Step 5: Solve for x
    x = 10,526,374.69/1,506.56
  6. Step 6: Final answer
    x = 6,987.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.