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Finding the Third Proportional to 3,024 and 6,523.88

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Solution

The third proportional to 3,024 and 6,523.88 is: 14,074.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024 : 6,523.88 = 6,523.88 : x
  2. Step 2: Convert to fraction form
    3,024/6,523.88 = 6,523.88/x
  3. Step 3: Cross multiply
    3,024x = 6,523.88 × 6,523.88
  4. Step 4: Simplify right side
    3,024x = 42,560,945.02
  5. Step 5: Solve for x
    x = 42,560,945.02/3,024
  6. Step 6: Final answer
    x = 14,074.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.