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Finding the Third Proportional to 4,756 and 7,472

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Solution

The third proportional to 4,756 and 7,472 is: 11,739.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756 : 7,472 = 7,472 : x
  2. Step 2: Convert to fraction form
    4,756/7,472 = 7,472/x
  3. Step 3: Cross multiply
    4,756x = 7,472 × 7,472
  4. Step 4: Simplify right side
    4,756x = 55,830,784
  5. Step 5: Solve for x
    x = 55,830,784/4,756
  6. Step 6: Final answer
    x = 11,739.02

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.