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Finding the Third Proportional to 2,314 and 4,804

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Solution

The third proportional to 2,314 and 4,804 is: 9,973.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314 : 4,804 = 4,804 : x
  2. Step 2: Convert to fraction form
    2,314/4,804 = 4,804/x
  3. Step 3: Cross multiply
    2,314x = 4,804 × 4,804
  4. Step 4: Simplify right side
    2,314x = 23,078,416
  5. Step 5: Solve for x
    x = 23,078,416/2,314
  6. Step 6: Final answer
    x = 9,973.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.