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Finding the Third Proportional to 22,401 and 33,087.38

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Solution

The third proportional to 22,401 and 33,087.38 is: 48,871.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,401 : 33,087.38 = 33,087.38 : x
  2. Step 2: Convert to fraction form
    22,401/33,087.38 = 33,087.38/x
  3. Step 3: Cross multiply
    22,401x = 33,087.38 × 33,087.38
  4. Step 4: Simplify right side
    22,401x = 1,094,774,384.39
  5. Step 5: Solve for x
    x = 1,094,774,384.39/22,401
  6. Step 6: Final answer
    x = 48,871.67

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.