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Finding the Third Proportional to 1,716.66 and 3,524.45

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Solution

The third proportional to 1,716.66 and 3,524.45 is: 7,235.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.66 : 3,524.45 = 3,524.45 : x
  2. Step 2: Convert to fraction form
    1,716.66/3,524.45 = 3,524.45/x
  3. Step 3: Cross multiply
    1,716.66x = 3,524.45 × 3,524.45
  4. Step 4: Simplify right side
    1,716.66x = 12,421,742.30
  5. Step 5: Solve for x
    x = 12,421,742.30/1,716.66
  6. Step 6: Final answer
    x = 7,235.99

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.