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Finding the Third Proportional to 4,810 and 7,631

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Solution

The third proportional to 4,810 and 7,631 is: 12,106.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,810 : 7,631 = 7,631 : x
  2. Step 2: Convert to fraction form
    4,810/7,631 = 7,631/x
  3. Step 3: Cross multiply
    4,810x = 7,631 × 7,631
  4. Step 4: Simplify right side
    4,810x = 58,232,161
  5. Step 5: Solve for x
    x = 58,232,161/4,810
  6. Step 6: Final answer
    x = 12,106.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.