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Finding the Third Proportional to 6,573.09 and 14,239.41

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Solution

The third proportional to 6,573.09 and 14,239.41 is: 30,847.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,573.09 : 14,239.41 = 14,239.41 : x
  2. Step 2: Convert to fraction form
    6,573.09/14,239.41 = 14,239.41/x
  3. Step 3: Cross multiply
    6,573.09x = 14,239.41 × 14,239.41
  4. Step 4: Simplify right side
    6,573.09x = 202,760,690.35
  5. Step 5: Solve for x
    x = 202,760,690.35/6,573.09
  6. Step 6: Final answer
    x = 30,847.07

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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.