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Finding the Third Proportional to 7,722.84 and 16,966.34

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Solution

The third proportional to 7,722.84 and 16,966.34 is: 37,273.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722.84 : 16,966.34 = 16,966.34 : x
  2. Step 2: Convert to fraction form
    7,722.84/16,966.34 = 16,966.34/x
  3. Step 3: Cross multiply
    7,722.84x = 16,966.34 × 16,966.34
  4. Step 4: Simplify right side
    7,722.84x = 287,856,555.14
  5. Step 5: Solve for x
    x = 287,856,555.14/7,722.84
  6. Step 6: Final answer
    x = 37,273.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.