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Finding the Third Proportional to 22,914 and 33,549.75

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Solution

The third proportional to 22,914 and 33,549.75 is: 49,122.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,914 : 33,549.75 = 33,549.75 : x
  2. Step 2: Convert to fraction form
    22,914/33,549.75 = 33,549.75/x
  3. Step 3: Cross multiply
    22,914x = 33,549.75 × 33,549.75
  4. Step 4: Simplify right side
    22,914x = 1,125,585,725.06
  5. Step 5: Solve for x
    x = 1,125,585,725.06/22,914
  6. Step 6: Final answer
    x = 49,122.18

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.