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Finding the Third Proportional to 18,871 and 39,989.50

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Solution

The third proportional to 18,871 and 39,989.50 is: 84,741.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,871 : 39,989.50 = 39,989.50 : x
  2. Step 2: Convert to fraction form
    18,871/39,989.50 = 39,989.50/x
  3. Step 3: Cross multiply
    18,871x = 39,989.50 × 39,989.50
  4. Step 4: Simplify right side
    18,871x = 1,599,160,110.25
  5. Step 5: Solve for x
    x = 1,599,160,110.25/18,871
  6. Step 6: Final answer
    x = 84,741.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.