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Finding the Third Proportional to 1,972 and 4,756

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Solution

The third proportional to 1,972 and 4,756 is: 11,470.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972 : 4,756 = 4,756 : x
  2. Step 2: Convert to fraction form
    1,972/4,756 = 4,756/x
  3. Step 3: Cross multiply
    1,972x = 4,756 × 4,756
  4. Step 4: Simplify right side
    1,972x = 22,619,536
  5. Step 5: Solve for x
    x = 22,619,536/1,972
  6. Step 6: Final answer
    x = 11,470.35

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.