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Finding the Third Proportional to 4,742 and 6,942

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Solution

The third proportional to 4,742 and 6,942 is: 10,162.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742 : 6,942 = 6,942 : x
  2. Step 2: Convert to fraction form
    4,742/6,942 = 6,942/x
  3. Step 3: Cross multiply
    4,742x = 6,942 × 6,942
  4. Step 4: Simplify right side
    4,742x = 48,191,364
  5. Step 5: Solve for x
    x = 48,191,364/4,742
  6. Step 6: Final answer
    x = 10,162.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.