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Finding the Third Proportional to 5,953.50 and 12,698.44

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Solution

The third proportional to 5,953.50 and 12,698.44 is: 27,084.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953.50 : 12,698.44 = 12,698.44 : x
  2. Step 2: Convert to fraction form
    5,953.50/12,698.44 = 12,698.44/x
  3. Step 3: Cross multiply
    5,953.50x = 12,698.44 × 12,698.44
  4. Step 4: Simplify right side
    5,953.50x = 161,250,314.94
  5. Step 5: Solve for x
    x = 161,250,314.94/5,953.50
  6. Step 6: Final answer
    x = 27,084.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.