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Finding the Third Proportional to 1,542 and 1,992

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Solution

The third proportional to 1,542 and 1,992 is: 2,573.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542 : 1,992 = 1,992 : x
  2. Step 2: Convert to fraction form
    1,542/1,992 = 1,992/x
  3. Step 3: Cross multiply
    1,542x = 1,992 × 1,992
  4. Step 4: Simplify right side
    1,542x = 3,968,064
  5. Step 5: Solve for x
    x = 3,968,064/1,542
  6. Step 6: Final answer
    x = 2,573.32

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.