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Finding the Third Proportional to 14,181.33 and 21,938.34

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Solution

The third proportional to 14,181.33 and 21,938.34 is: 33,938.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,181.33 : 21,938.34 = 21,938.34 : x
  2. Step 2: Convert to fraction form
    14,181.33/21,938.34 = 21,938.34/x
  3. Step 3: Cross multiply
    14,181.33x = 21,938.34 × 21,938.34
  4. Step 4: Simplify right side
    14,181.33x = 481,290,926.49
  5. Step 5: Solve for x
    x = 481,290,926.49/14,181.33
  6. Step 6: Final answer
    x = 33,938.35

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.