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Finding the Third Proportional to 34,137 and 46,993.50

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Solution

The third proportional to 34,137 and 46,993.50 is: 64,691.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,137 : 46,993.50 = 46,993.50 : x
  2. Step 2: Convert to fraction form
    34,137/46,993.50 = 46,993.50/x
  3. Step 3: Cross multiply
    34,137x = 46,993.50 × 46,993.50
  4. Step 4: Simplify right side
    34,137x = 2,208,389,042.25
  5. Step 5: Solve for x
    x = 2,208,389,042.25/34,137
  6. Step 6: Final answer
    x = 64,691.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.