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Finding the Third Proportional to 2,228 and 2,570

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Solution

The third proportional to 2,228 and 2,570 is: 2,964.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228 : 2,570 = 2,570 : x
  2. Step 2: Convert to fraction form
    2,228/2,570 = 2,570/x
  3. Step 3: Cross multiply
    2,228x = 2,570 × 2,570
  4. Step 4: Simplify right side
    2,228x = 6,604,900
  5. Step 5: Solve for x
    x = 6,604,900/2,228
  6. Step 6: Final answer
    x = 2,964.50

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.