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Finding the Third Proportional to 6,723 and 15,622.88

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Solution

The third proportional to 6,723 and 15,622.88 is: 36,304.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,723 : 15,622.88 = 15,622.88 : x
  2. Step 2: Convert to fraction form
    6,723/15,622.88 = 15,622.88/x
  3. Step 3: Cross multiply
    6,723x = 15,622.88 × 15,622.88
  4. Step 4: Simplify right side
    6,723x = 244,074,223.27
  5. Step 5: Solve for x
    x = 244,074,223.27/6,723
  6. Step 6: Final answer
    x = 36,304.36

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.