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Finding the Third Proportional to 47,959.50 and 97,823

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Solution

The third proportional to 47,959.50 and 97,823 is: 199,529.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,959.50 : 97,823 = 97,823 : x
  2. Step 2: Convert to fraction form
    47,959.50/97,823 = 97,823/x
  3. Step 3: Cross multiply
    47,959.50x = 97,823 × 97,823
  4. Step 4: Simplify right side
    47,959.50x = 9,569,339,329
  5. Step 5: Solve for x
    x = 9,569,339,329/47,959.50
  6. Step 6: Final answer
    x = 199,529.59

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.