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Finding the Third Proportional to 4,826 and 7,914

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Solution

The third proportional to 4,826 and 7,914 is: 12,977.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,826 : 7,914 = 7,914 : x
  2. Step 2: Convert to fraction form
    4,826/7,914 = 7,914/x
  3. Step 3: Cross multiply
    4,826x = 7,914 × 7,914
  4. Step 4: Simplify right side
    4,826x = 62,631,396
  5. Step 5: Solve for x
    x = 62,631,396/4,826
  6. Step 6: Final answer
    x = 12,977.91

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.