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Finding the Third Proportional to 21,824.44 and 42,327.56

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Solution

The third proportional to 21,824.44 and 42,327.56 is: 82,092.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,824.44 : 42,327.56 = 42,327.56 : x
  2. Step 2: Convert to fraction form
    21,824.44/42,327.56 = 42,327.56/x
  3. Step 3: Cross multiply
    21,824.44x = 42,327.56 × 42,327.56
  4. Step 4: Simplify right side
    21,824.44x = 1,791,622,547.19
  5. Step 5: Solve for x
    x = 1,791,622,547.19/21,824.44
  6. Step 6: Final answer
    x = 82,092.50

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.