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Finding the Third Proportional to 5,802 and 6,720

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Solution

The third proportional to 5,802 and 6,720 is: 7,783.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802 : 6,720 = 6,720 : x
  2. Step 2: Convert to fraction form
    5,802/6,720 = 6,720/x
  3. Step 3: Cross multiply
    5,802x = 6,720 × 6,720
  4. Step 4: Simplify right side
    5,802x = 45,158,400
  5. Step 5: Solve for x
    x = 45,158,400/5,802
  6. Step 6: Final answer
    x = 7,783.25

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.