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Finding the Third Proportional to 2,828.67 and 6,143.34

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Solution

The third proportional to 2,828.67 and 6,143.34 is: 13,342.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.67 : 6,143.34 = 6,143.34 : x
  2. Step 2: Convert to fraction form
    2,828.67/6,143.34 = 6,143.34/x
  3. Step 3: Cross multiply
    2,828.67x = 6,143.34 × 6,143.34
  4. Step 4: Simplify right side
    2,828.67x = 37,740,672.43
  5. Step 5: Solve for x
    x = 37,740,672.43/2,828.67
  6. Step 6: Final answer
    x = 13,342.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.