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Finding the Third Proportional to 10,201.50 and 19,479.94

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Solution

The third proportional to 10,201.50 and 19,479.94 is: 37,197.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.50 : 19,479.94 = 19,479.94 : x
  2. Step 2: Convert to fraction form
    10,201.50/19,479.94 = 19,479.94/x
  3. Step 3: Cross multiply
    10,201.50x = 19,479.94 × 19,479.94
  4. Step 4: Simplify right side
    10,201.50x = 379,467,965.00
  5. Step 5: Solve for x
    x = 379,467,965.00/10,201.50
  6. Step 6: Final answer
    x = 37,197.27

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These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.