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Finding the Third Proportional to 6,411 and 13,818

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Solution

The third proportional to 6,411 and 13,818 is: 29,782.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411 : 13,818 = 13,818 : x
  2. Step 2: Convert to fraction form
    6,411/13,818 = 13,818/x
  3. Step 3: Cross multiply
    6,411x = 13,818 × 13,818
  4. Step 4: Simplify right side
    6,411x = 190,937,124
  5. Step 5: Solve for x
    x = 190,937,124/6,411
  6. Step 6: Final answer
    x = 29,782.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.