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Finding the Third Proportional to 7,767.84 and 16,623.84

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Solution

The third proportional to 7,767.84 and 16,623.84 is: 35,576.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.84 : 16,623.84 = 16,623.84 : x
  2. Step 2: Convert to fraction form
    7,767.84/16,623.84 = 16,623.84/x
  3. Step 3: Cross multiply
    7,767.84x = 16,623.84 × 16,623.84
  4. Step 4: Simplify right side
    7,767.84x = 276,352,181.02
  5. Step 5: Solve for x
    x = 276,352,181.02/7,767.84
  6. Step 6: Final answer
    x = 35,576.43

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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.