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Finding the Third Proportional to 3,985 and 4,723

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Solution

The third proportional to 3,985 and 4,723 is: 5,597.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,985 : 4,723 = 4,723 : x
  2. Step 2: Convert to fraction form
    3,985/4,723 = 4,723/x
  3. Step 3: Cross multiply
    3,985x = 4,723 × 4,723
  4. Step 4: Simplify right side
    3,985x = 22,306,729
  5. Step 5: Solve for x
    x = 22,306,729/3,985
  6. Step 6: Final answer
    x = 5,597.67

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.