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Finding the Third Proportional to 16,384.50 and 35,104.50

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Solution

The third proportional to 16,384.50 and 35,104.50 is: 75,212.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.50 : 35,104.50 = 35,104.50 : x
  2. Step 2: Convert to fraction form
    16,384.50/35,104.50 = 35,104.50/x
  3. Step 3: Cross multiply
    16,384.50x = 35,104.50 × 35,104.50
  4. Step 4: Simplify right side
    16,384.50x = 1,232,325,920.25
  5. Step 5: Solve for x
    x = 1,232,325,920.25/16,384.50
  6. Step 6: Final answer
    x = 75,212.91

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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.