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Finding the Third Proportional to 21,824.44 and 47,126.81

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Solution

The third proportional to 21,824.44 and 47,126.81 is: 101,763.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,824.44 : 47,126.81 = 47,126.81 : x
  2. Step 2: Convert to fraction form
    21,824.44/47,126.81 = 47,126.81/x
  3. Step 3: Cross multiply
    21,824.44x = 47,126.81 × 47,126.81
  4. Step 4: Simplify right side
    21,824.44x = 2,220,936,456.41
  5. Step 5: Solve for x
    x = 2,220,936,456.41/21,824.44
  6. Step 6: Final answer
    x = 101,763.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.