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Finding the Third Proportional to 9,024 and 20,304

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Solution

The third proportional to 9,024 and 20,304 is: 45,684

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,024 : 20,304 = 20,304 : x
  2. Step 2: Convert to fraction form
    9,024/20,304 = 20,304/x
  3. Step 3: Cross multiply
    9,024x = 20,304 × 20,304
  4. Step 4: Simplify right side
    9,024x = 412,252,416
  5. Step 5: Solve for x
    x = 412,252,416/9,024
  6. Step 6: Final answer
    x = 45,684

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.