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Finding the Third Proportional to 1,660 and 3,570

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Solution

The third proportional to 1,660 and 3,570 is: 7,677.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660 : 3,570 = 3,570 : x
  2. Step 2: Convert to fraction form
    1,660/3,570 = 3,570/x
  3. Step 3: Cross multiply
    1,660x = 3,570 × 3,570
  4. Step 4: Simplify right side
    1,660x = 12,744,900
  5. Step 5: Solve for x
    x = 12,744,900/1,660
  6. Step 6: Final answer
    x = 7,677.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.