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Finding the Third Proportional to 1,692 and 3,708

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Solution

The third proportional to 1,692 and 3,708 is: 8,126.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692 : 3,708 = 3,708 : x
  2. Step 2: Convert to fraction form
    1,692/3,708 = 3,708/x
  3. Step 3: Cross multiply
    1,692x = 3,708 × 3,708
  4. Step 4: Simplify right side
    1,692x = 13,749,264
  5. Step 5: Solve for x
    x = 13,749,264/1,692
  6. Step 6: Final answer
    x = 8,126.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.