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Finding the Third Proportional to 21,357.42 and 33,154.31

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Solution

The third proportional to 21,357.42 and 33,154.31 is: 51,467.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,357.42 : 33,154.31 = 33,154.31 : x
  2. Step 2: Convert to fraction form
    21,357.42/33,154.31 = 33,154.31/x
  3. Step 3: Cross multiply
    21,357.42x = 33,154.31 × 33,154.31
  4. Step 4: Simplify right side
    21,357.42x = 1,099,208,437.35
  5. Step 5: Solve for x
    x = 1,099,208,437.35/21,357.42
  6. Step 6: Final answer
    x = 51,467.28

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.