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Finding the Third Proportional to 6,858 and 9,360

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Solution

The third proportional to 6,858 and 9,360 is: 12,774.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858 : 9,360 = 9,360 : x
  2. Step 2: Convert to fraction form
    6,858/9,360 = 9,360/x
  3. Step 3: Cross multiply
    6,858x = 9,360 × 9,360
  4. Step 4: Simplify right side
    6,858x = 87,609,600
  5. Step 5: Solve for x
    x = 87,609,600/6,858
  6. Step 6: Final answer
    x = 12,774.80

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.