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Finding the Third Proportional to 3,072 and 4,189

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Solution

The third proportional to 3,072 and 4,189 is: 5,712.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072 : 4,189 = 4,189 : x
  2. Step 2: Convert to fraction form
    3,072/4,189 = 4,189/x
  3. Step 3: Cross multiply
    3,072x = 4,189 × 4,189
  4. Step 4: Simplify right side
    3,072x = 17,547,721
  5. Step 5: Solve for x
    x = 17,547,721/3,072
  6. Step 6: Final answer
    x = 5,712.15

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.