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Finding the Third Proportional to 2,309 and 2,807

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Solution

The third proportional to 2,309 and 2,807 is: 3,412.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309 : 2,807 = 2,807 : x
  2. Step 2: Convert to fraction form
    2,309/2,807 = 2,807/x
  3. Step 3: Cross multiply
    2,309x = 2,807 × 2,807
  4. Step 4: Simplify right side
    2,309x = 7,879,249
  5. Step 5: Solve for x
    x = 7,879,249/2,309
  6. Step 6: Final answer
    x = 3,412.41

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.