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Finding the Third Proportional to 1,716.61 and 2,575.34

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Solution

The third proportional to 1,716.61 and 2,575.34 is: 3,863.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.61 : 2,575.34 = 2,575.34 : x
  2. Step 2: Convert to fraction form
    1,716.61/2,575.34 = 2,575.34/x
  3. Step 3: Cross multiply
    1,716.61x = 2,575.34 × 2,575.34
  4. Step 4: Simplify right side
    1,716.61x = 6,632,355.19
  5. Step 5: Solve for x
    x = 6,632,355.19/1,716.61
  6. Step 6: Final answer
    x = 3,863.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.