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Finding the Third Proportional to 2,509.88 and 3,302.44

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Solution

The third proportional to 2,509.88 and 3,302.44 is: 4,345.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.88 : 3,302.44 = 3,302.44 : x
  2. Step 2: Convert to fraction form
    2,509.88/3,302.44 = 3,302.44/x
  3. Step 3: Cross multiply
    2,509.88x = 3,302.44 × 3,302.44
  4. Step 4: Simplify right side
    2,509.88x = 10,906,093.44
  5. Step 5: Solve for x
    x = 10,906,093.44/2,509.88
  6. Step 6: Final answer
    x = 4,345.27

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.