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Finding the Third Proportional to 4,651 and 7,019

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Solution

The third proportional to 4,651 and 7,019 is: 10,592.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651 : 7,019 = 7,019 : x
  2. Step 2: Convert to fraction form
    4,651/7,019 = 7,019/x
  3. Step 3: Cross multiply
    4,651x = 7,019 × 7,019
  4. Step 4: Simplify right side
    4,651x = 49,266,361
  5. Step 5: Solve for x
    x = 49,266,361/4,651
  6. Step 6: Final answer
    x = 10,592.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.