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Finding the Third Proportional to 1,684.55 and 3,125.67

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Solution

The third proportional to 1,684.55 and 3,125.67 is: 5,799.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.55 : 3,125.67 = 3,125.67 : x
  2. Step 2: Convert to fraction form
    1,684.55/3,125.67 = 3,125.67/x
  3. Step 3: Cross multiply
    1,684.55x = 3,125.67 × 3,125.67
  4. Step 4: Simplify right side
    1,684.55x = 9,769,824.67
  5. Step 5: Solve for x
    x = 9,769,824.67/1,684.55
  6. Step 6: Final answer
    x = 5,799.68

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.