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Finding the Third Proportional to 39,639 and 52,843.50

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Solution

The third proportional to 39,639 and 52,843.50 is: 70,446.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,639 : 52,843.50 = 52,843.50 : x
  2. Step 2: Convert to fraction form
    39,639/52,843.50 = 52,843.50/x
  3. Step 3: Cross multiply
    39,639x = 52,843.50 × 52,843.50
  4. Step 4: Simplify right side
    39,639x = 2,792,435,492.25
  5. Step 5: Solve for x
    x = 2,792,435,492.25/39,639
  6. Step 6: Final answer
    x = 70,446.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.