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Finding the Third Proportional to 2,465 and 2,684

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Solution

The third proportional to 2,465 and 2,684 is: 2,922.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465 : 2,684 = 2,684 : x
  2. Step 2: Convert to fraction form
    2,465/2,684 = 2,684/x
  3. Step 3: Cross multiply
    2,465x = 2,684 × 2,684
  4. Step 4: Simplify right side
    2,465x = 7,203,856
  5. Step 5: Solve for x
    x = 7,203,856/2,465
  6. Step 6: Final answer
    x = 2,922.46

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.