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Finding the Third Proportional to 6,840 and 16,138

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Solution

The third proportional to 6,840 and 16,138 is: 38,075.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840 : 16,138 = 16,138 : x
  2. Step 2: Convert to fraction form
    6,840/16,138 = 16,138/x
  3. Step 3: Cross multiply
    6,840x = 16,138 × 16,138
  4. Step 4: Simplify right side
    6,840x = 260,435,044
  5. Step 5: Solve for x
    x = 260,435,044/6,840
  6. Step 6: Final answer
    x = 38,075.30

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.