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Finding the Third Proportional to 4,562 and 7,653

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Solution

The third proportional to 4,562 and 7,653 is: 12,838.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562 : 7,653 = 7,653 : x
  2. Step 2: Convert to fraction form
    4,562/7,653 = 7,653/x
  3. Step 3: Cross multiply
    4,562x = 7,653 × 7,653
  4. Step 4: Simplify right side
    4,562x = 58,568,409
  5. Step 5: Solve for x
    x = 58,568,409/4,562
  6. Step 6: Final answer
    x = 12,838.32

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.