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Finding the Third Proportional to 6,904 and 10,340

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Solution

The third proportional to 6,904 and 10,340 is: 15,486.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904 : 10,340 = 10,340 : x
  2. Step 2: Convert to fraction form
    6,904/10,340 = 10,340/x
  3. Step 3: Cross multiply
    6,904x = 10,340 × 10,340
  4. Step 4: Simplify right side
    6,904x = 106,915,600
  5. Step 5: Solve for x
    x = 106,915,600/6,904
  6. Step 6: Final answer
    x = 15,486.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.