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Finding the Third Proportional to 16,236 and 39,006.50

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Solution

The third proportional to 16,236 and 39,006.50 is: 93,711.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,236 : 39,006.50 = 39,006.50 : x
  2. Step 2: Convert to fraction form
    16,236/39,006.50 = 39,006.50/x
  3. Step 3: Cross multiply
    16,236x = 39,006.50 × 39,006.50
  4. Step 4: Simplify right side
    16,236x = 1,521,507,042.25
  5. Step 5: Solve for x
    x = 1,521,507,042.25/16,236
  6. Step 6: Final answer
    x = 93,711.94

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These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.