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Finding the Third Proportional to 1,954 and 4,729

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Solution

The third proportional to 1,954 and 4,729 is: 11,444.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954 : 4,729 = 4,729 : x
  2. Step 2: Convert to fraction form
    1,954/4,729 = 4,729/x
  3. Step 3: Cross multiply
    1,954x = 4,729 × 4,729
  4. Step 4: Simplify right side
    1,954x = 22,363,441
  5. Step 5: Solve for x
    x = 22,363,441/1,954
  6. Step 6: Final answer
    x = 11,444.95

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.