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Finding the Third Proportional to 1,542 and 3,169.50

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Solution

The third proportional to 1,542 and 3,169.50 is: 6,514.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542 : 3,169.50 = 3,169.50 : x
  2. Step 2: Convert to fraction form
    1,542/3,169.50 = 3,169.50/x
  3. Step 3: Cross multiply
    1,542x = 3,169.50 × 3,169.50
  4. Step 4: Simplify right side
    1,542x = 10,045,730.25
  5. Step 5: Solve for x
    x = 10,045,730.25/1,542
  6. Step 6: Final answer
    x = 6,514.74

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.