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Finding the Third Proportional to 5,059.97 and 11,934.84

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Solution

The third proportional to 5,059.97 and 11,934.84 is: 28,150.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,059.97 : 11,934.84 = 11,934.84 : x
  2. Step 2: Convert to fraction form
    5,059.97/11,934.84 = 11,934.84/x
  3. Step 3: Cross multiply
    5,059.97x = 11,934.84 × 11,934.84
  4. Step 4: Simplify right side
    5,059.97x = 142,440,495.34
  5. Step 5: Solve for x
    x = 142,440,495.34/5,059.97
  6. Step 6: Final answer
    x = 28,150.47

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.