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Finding the Third Proportional to 7,889.06 and 16,886.44

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Solution

The third proportional to 7,889.06 and 16,886.44 is: 36,145.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889.06 : 16,886.44 = 16,886.44 : x
  2. Step 2: Convert to fraction form
    7,889.06/16,886.44 = 16,886.44/x
  3. Step 3: Cross multiply
    7,889.06x = 16,886.44 × 16,886.44
  4. Step 4: Simplify right side
    7,889.06x = 285,151,771.44
  5. Step 5: Solve for x
    x = 285,151,771.44/7,889.06
  6. Step 6: Final answer
    x = 36,145.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.