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Finding the Third Proportional to 3,505.46 and 7,623.18

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Solution

The third proportional to 3,505.46 and 7,623.18 is: 16,577.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.46 : 7,623.18 = 7,623.18 : x
  2. Step 2: Convert to fraction form
    3,505.46/7,623.18 = 7,623.18/x
  3. Step 3: Cross multiply
    3,505.46x = 7,623.18 × 7,623.18
  4. Step 4: Simplify right side
    3,505.46x = 58,112,808.99
  5. Step 5: Solve for x
    x = 58,112,808.99/3,505.46
  6. Step 6: Final answer
    x = 16,577.78

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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.