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Finding the Third Proportional to 21,653.25 and 33,847.13

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Solution

The third proportional to 21,653.25 and 33,847.13 is: 52,907.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,653.25 : 33,847.13 = 33,847.13 : x
  2. Step 2: Convert to fraction form
    21,653.25/33,847.13 = 33,847.13/x
  3. Step 3: Cross multiply
    21,653.25x = 33,847.13 × 33,847.13
  4. Step 4: Simplify right side
    21,653.25x = 1,145,627,870.77
  5. Step 5: Solve for x
    x = 1,145,627,870.77/21,653.25
  6. Step 6: Final answer
    x = 52,907.89

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.