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Finding the Third Proportional to 18,645 and 39,949.50

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Solution

The third proportional to 18,645 and 39,949.50 is: 85,597.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,645 : 39,949.50 = 39,949.50 : x
  2. Step 2: Convert to fraction form
    18,645/39,949.50 = 39,949.50/x
  3. Step 3: Cross multiply
    18,645x = 39,949.50 × 39,949.50
  4. Step 4: Simplify right side
    18,645x = 1,595,962,550.25
  5. Step 5: Solve for x
    x = 1,595,962,550.25/18,645
  6. Step 6: Final answer
    x = 85,597.35

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.