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Finding the Third Proportional to 8,950 and 13,735.50

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Solution

The third proportional to 8,950 and 13,735.50 is: 21,079.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,950 : 13,735.50 = 13,735.50 : x
  2. Step 2: Convert to fraction form
    8,950/13,735.50 = 13,735.50/x
  3. Step 3: Cross multiply
    8,950x = 13,735.50 × 13,735.50
  4. Step 4: Simplify right side
    8,950x = 188,663,960.25
  5. Step 5: Solve for x
    x = 188,663,960.25/8,950
  6. Step 6: Final answer
    x = 21,079.77

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.