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Finding the Third Proportional to 6,840 and 10,446

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Solution

The third proportional to 6,840 and 10,446 is: 15,953.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840 : 10,446 = 10,446 : x
  2. Step 2: Convert to fraction form
    6,840/10,446 = 10,446/x
  3. Step 3: Cross multiply
    6,840x = 10,446 × 10,446
  4. Step 4: Simplify right side
    6,840x = 109,118,916
  5. Step 5: Solve for x
    x = 109,118,916/6,840
  6. Step 6: Final answer
    x = 15,953.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.