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Finding the Third Proportional to 5,856 and 6,480

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Solution

The third proportional to 5,856 and 6,480 is: 7,170.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856 : 6,480 = 6,480 : x
  2. Step 2: Convert to fraction form
    5,856/6,480 = 6,480/x
  3. Step 3: Cross multiply
    5,856x = 6,480 × 6,480
  4. Step 4: Simplify right side
    5,856x = 41,990,400
  5. Step 5: Solve for x
    x = 41,990,400/5,856
  6. Step 6: Final answer
    x = 7,170.49

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.