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Finding the Third Proportional to 38,859 and 84,639

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Solution

The third proportional to 38,859 and 84,639 is: 184,352.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,859 : 84,639 = 84,639 : x
  2. Step 2: Convert to fraction form
    38,859/84,639 = 84,639/x
  3. Step 3: Cross multiply
    38,859x = 84,639 × 84,639
  4. Step 4: Simplify right side
    38,859x = 7,163,760,321
  5. Step 5: Solve for x
    x = 7,163,760,321/38,859
  6. Step 6: Final answer
    x = 184,352.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.