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Finding the Third Proportional to 4,865 and 7,290

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Solution

The third proportional to 4,865 and 7,290 is: 10,923.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,865 : 7,290 = 7,290 : x
  2. Step 2: Convert to fraction form
    4,865/7,290 = 7,290/x
  3. Step 3: Cross multiply
    4,865x = 7,290 × 7,290
  4. Step 4: Simplify right side
    4,865x = 53,144,100
  5. Step 5: Solve for x
    x = 53,144,100/4,865
  6. Step 6: Final answer
    x = 10,923.76

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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.