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Finding the Third Proportional to 8,896.50 and 18,888.19

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Solution

The third proportional to 8,896.50 and 18,888.19 is: 40,101.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,896.50 : 18,888.19 = 18,888.19 : x
  2. Step 2: Convert to fraction form
    8,896.50/18,888.19 = 18,888.19/x
  3. Step 3: Cross multiply
    8,896.50x = 18,888.19 × 18,888.19
  4. Step 4: Simplify right side
    8,896.50x = 356,763,627.04
  5. Step 5: Solve for x
    x = 356,763,627.04/8,896.50
  6. Step 6: Final answer
    x = 40,101.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.