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Finding the Third Proportional to 21,901.96 and 47,950.10

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Solution

The third proportional to 21,901.96 and 47,950.10 is: 104,977.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,901.96 : 47,950.10 = 47,950.10 : x
  2. Step 2: Convert to fraction form
    21,901.96/47,950.10 = 47,950.10/x
  3. Step 3: Cross multiply
    21,901.96x = 47,950.10 × 47,950.10
  4. Step 4: Simplify right side
    21,901.96x = 2,299,212,239.85
  5. Step 5: Solve for x
    x = 2,299,212,239.85/21,901.96
  6. Step 6: Final answer
    x = 104,977.48

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.