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Finding the Third Proportional to 4,480 and 6,954

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Solution

The third proportional to 4,480 and 6,954 is: 10,794.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,480 : 6,954 = 6,954 : x
  2. Step 2: Convert to fraction form
    4,480/6,954 = 6,954/x
  3. Step 3: Cross multiply
    4,480x = 6,954 × 6,954
  4. Step 4: Simplify right side
    4,480x = 48,358,116
  5. Step 5: Solve for x
    x = 48,358,116/4,480
  6. Step 6: Final answer
    x = 10,794.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.