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Finding the Third Proportional to 9,024 and 13,575.38

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Solution

The third proportional to 9,024 and 13,575.38 is: 20,422.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,024 : 13,575.38 = 13,575.38 : x
  2. Step 2: Convert to fraction form
    9,024/13,575.38 = 13,575.38/x
  3. Step 3: Cross multiply
    9,024x = 13,575.38 × 13,575.38
  4. Step 4: Simplify right side
    9,024x = 184,290,806.39
  5. Step 5: Solve for x
    x = 184,290,806.39/9,024
  6. Step 6: Final answer
    x = 20,422.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.