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Finding the Third Proportional to 9,024.75 and 18,636.75

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Solution

The third proportional to 9,024.75 and 18,636.75 is: 38,486.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,024.75 : 18,636.75 = 18,636.75 : x
  2. Step 2: Convert to fraction form
    9,024.75/18,636.75 = 18,636.75/x
  3. Step 3: Cross multiply
    9,024.75x = 18,636.75 × 18,636.75
  4. Step 4: Simplify right side
    9,024.75x = 347,328,450.56
  5. Step 5: Solve for x
    x = 347,328,450.56/9,024.75
  6. Step 6: Final answer
    x = 38,486.21

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.