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Finding the Third Proportional to 6,840 and 14,310

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Solution

The third proportional to 6,840 and 14,310 is: 29,938.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840 : 14,310 = 14,310 : x
  2. Step 2: Convert to fraction form
    6,840/14,310 = 14,310/x
  3. Step 3: Cross multiply
    6,840x = 14,310 × 14,310
  4. Step 4: Simplify right side
    6,840x = 204,776,100
  5. Step 5: Solve for x
    x = 204,776,100/6,840
  6. Step 6: Final answer
    x = 29,938.03

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.