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Finding the Third Proportional to 6,745 and 14,820

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Solution

The third proportional to 6,745 and 14,820 is: 32,562.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745 : 14,820 = 14,820 : x
  2. Step 2: Convert to fraction form
    6,745/14,820 = 14,820/x
  3. Step 3: Cross multiply
    6,745x = 14,820 × 14,820
  4. Step 4: Simplify right side
    6,745x = 219,632,400
  5. Step 5: Solve for x
    x = 219,632,400/6,745
  6. Step 6: Final answer
    x = 32,562.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.