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Finding the Third Proportional to 2,266 and 2,594

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Solution

The third proportional to 2,266 and 2,594 is: 2,969.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266 : 2,594 = 2,594 : x
  2. Step 2: Convert to fraction form
    2,266/2,594 = 2,594/x
  3. Step 3: Cross multiply
    2,266x = 2,594 × 2,594
  4. Step 4: Simplify right side
    2,266x = 6,728,836
  5. Step 5: Solve for x
    x = 6,728,836/2,266
  6. Step 6: Final answer
    x = 2,969.48

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.