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Finding the Third Proportional to 9,234.84 and 19,623.09

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Solution

The third proportional to 9,234.84 and 19,623.09 is: 41,697.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.84 : 19,623.09 = 19,623.09 : x
  2. Step 2: Convert to fraction form
    9,234.84/19,623.09 = 19,623.09/x
  3. Step 3: Cross multiply
    9,234.84x = 19,623.09 × 19,623.09
  4. Step 4: Simplify right side
    9,234.84x = 385,065,808.32
  5. Step 5: Solve for x
    x = 385,065,808.32/9,234.84
  6. Step 6: Final answer
    x = 41,697.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.