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Finding the Third Proportional to 5,840 and 8,208

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Solution

The third proportional to 5,840 and 8,208 is: 11,536.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,840 : 8,208 = 8,208 : x
  2. Step 2: Convert to fraction form
    5,840/8,208 = 8,208/x
  3. Step 3: Cross multiply
    5,840x = 8,208 × 8,208
  4. Step 4: Simplify right side
    5,840x = 67,371,264
  5. Step 5: Solve for x
    x = 67,371,264/5,840
  6. Step 6: Final answer
    x = 11,536.18

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.