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Finding the Third Proportional to 6,855.26 and 14,966.33

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Solution

The third proportional to 6,855.26 and 14,966.33 is: 32,674.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.26 : 14,966.33 = 14,966.33 : x
  2. Step 2: Convert to fraction form
    6,855.26/14,966.33 = 14,966.33/x
  3. Step 3: Cross multiply
    6,855.26x = 14,966.33 × 14,966.33
  4. Step 4: Simplify right side
    6,855.26x = 223,991,094.47
  5. Step 5: Solve for x
    x = 223,991,094.47/6,855.26
  6. Step 6: Final answer
    x = 32,674.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.