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Finding the Third Proportional to 1,886.44 and 4,096.98

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Solution

The third proportional to 1,886.44 and 4,096.98 is: 8,897.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.44 : 4,096.98 = 4,096.98 : x
  2. Step 2: Convert to fraction form
    1,886.44/4,096.98 = 4,096.98/x
  3. Step 3: Cross multiply
    1,886.44x = 4,096.98 × 4,096.98
  4. Step 4: Simplify right side
    1,886.44x = 16,785,215.95
  5. Step 5: Solve for x
    x = 16,785,215.95/1,886.44
  6. Step 6: Final answer
    x = 8,897.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.