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Finding the Third Proportional to 1,509.26 and 3,247.28

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Solution

The third proportional to 1,509.26 and 3,247.28 is: 6,986.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.26 : 3,247.28 = 3,247.28 : x
  2. Step 2: Convert to fraction form
    1,509.26/3,247.28 = 3,247.28/x
  3. Step 3: Cross multiply
    1,509.26x = 3,247.28 × 3,247.28
  4. Step 4: Simplify right side
    1,509.26x = 10,544,810.15
  5. Step 5: Solve for x
    x = 10,544,810.15/1,509.26
  6. Step 6: Final answer
    x = 6,986.75

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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.