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Finding the Third Proportional to 4,788 and 12,996

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Solution

The third proportional to 4,788 and 12,996 is: 35,274.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,788 : 12,996 = 12,996 : x
  2. Step 2: Convert to fraction form
    4,788/12,996 = 12,996/x
  3. Step 3: Cross multiply
    4,788x = 12,996 × 12,996
  4. Step 4: Simplify right side
    4,788x = 168,896,016
  5. Step 5: Solve for x
    x = 168,896,016/4,788
  6. Step 6: Final answer
    x = 35,274.86

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.