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Finding the Third Proportional to 3,174 and 4,438.50

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Solution

The third proportional to 3,174 and 4,438.50 is: 6,206.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174 : 4,438.50 = 4,438.50 : x
  2. Step 2: Convert to fraction form
    3,174/4,438.50 = 4,438.50/x
  3. Step 3: Cross multiply
    3,174x = 4,438.50 × 4,438.50
  4. Step 4: Simplify right side
    3,174x = 19,700,282.25
  5. Step 5: Solve for x
    x = 19,700,282.25/3,174
  6. Step 6: Final answer
    x = 6,206.77

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.