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Finding the Third Proportional to 4,610 and 6,019

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Solution

The third proportional to 4,610 and 6,019 is: 7,858.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,610 : 6,019 = 6,019 : x
  2. Step 2: Convert to fraction form
    4,610/6,019 = 6,019/x
  3. Step 3: Cross multiply
    4,610x = 6,019 × 6,019
  4. Step 4: Simplify right side
    4,610x = 36,228,361
  5. Step 5: Solve for x
    x = 36,228,361/4,610
  6. Step 6: Final answer
    x = 7,858.65

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.