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Finding the Third Proportional to 21,824.44 and 47,646.98

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Solution

The third proportional to 21,824.44 and 47,646.98 is: 104,022.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,824.44 : 47,646.98 = 47,646.98 : x
  2. Step 2: Convert to fraction form
    21,824.44/47,646.98 = 47,646.98/x
  3. Step 3: Cross multiply
    21,824.44x = 47,646.98 × 47,646.98
  4. Step 4: Simplify right side
    21,824.44x = 2,270,235,120.03
  5. Step 5: Solve for x
    x = 2,270,235,120.03/21,824.44
  6. Step 6: Final answer
    x = 104,022.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.