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Finding the Third Proportional to 6,746 and 10,355

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Solution

The third proportional to 6,746 and 10,355 is: 15,894.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746 : 10,355 = 10,355 : x
  2. Step 2: Convert to fraction form
    6,746/10,355 = 10,355/x
  3. Step 3: Cross multiply
    6,746x = 10,355 × 10,355
  4. Step 4: Simplify right side
    6,746x = 107,226,025
  5. Step 5: Solve for x
    x = 107,226,025/6,746
  6. Step 6: Final answer
    x = 15,894.76

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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.