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Finding the Third Proportional to 22,981 and 33,134.50

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Solution

The third proportional to 22,981 and 33,134.50 is: 47,774.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,981 : 33,134.50 = 33,134.50 : x
  2. Step 2: Convert to fraction form
    22,981/33,134.50 = 33,134.50/x
  3. Step 3: Cross multiply
    22,981x = 33,134.50 × 33,134.50
  4. Step 4: Simplify right side
    22,981x = 1,097,895,090.25
  5. Step 5: Solve for x
    x = 1,097,895,090.25/22,981
  6. Step 6: Final answer
    x = 47,774.03

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.