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Finding the Third Proportional to 9,269 and 21,853.75

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Solution

The third proportional to 9,269 and 21,853.75 is: 51,525.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269 : 21,853.75 = 21,853.75 : x
  2. Step 2: Convert to fraction form
    9,269/21,853.75 = 21,853.75/x
  3. Step 3: Cross multiply
    9,269x = 21,853.75 × 21,853.75
  4. Step 4: Simplify right side
    9,269x = 477,586,389.06
  5. Step 5: Solve for x
    x = 477,586,389.06/9,269
  6. Step 6: Final answer
    x = 51,525.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.