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Finding the Third Proportional to 13,905 and 28,336.50

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Solution

The third proportional to 13,905 and 28,336.50 is: 57,745.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,905 : 28,336.50 = 28,336.50 : x
  2. Step 2: Convert to fraction form
    13,905/28,336.50 = 28,336.50/x
  3. Step 3: Cross multiply
    13,905x = 28,336.50 × 28,336.50
  4. Step 4: Simplify right side
    13,905x = 802,957,232.25
  5. Step 5: Solve for x
    x = 802,957,232.25/13,905
  6. Step 6: Final answer
    x = 57,745.94

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.