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Finding the Third Proportional to 24,133 and 33,984

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Solution

The third proportional to 24,133 and 33,984 is: 47,856.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,133 : 33,984 = 33,984 : x
  2. Step 2: Convert to fraction form
    24,133/33,984 = 33,984/x
  3. Step 3: Cross multiply
    24,133x = 33,984 × 33,984
  4. Step 4: Simplify right side
    24,133x = 1,154,912,256
  5. Step 5: Solve for x
    x = 1,154,912,256/24,133
  6. Step 6: Final answer
    x = 47,856.14

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.