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Finding the Third Proportional to 21,242.25 and 43,405.88

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Solution

The third proportional to 21,242.25 and 43,405.88 is: 88,694.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,242.25 : 43,405.88 = 43,405.88 : x
  2. Step 2: Convert to fraction form
    21,242.25/43,405.88 = 43,405.88/x
  3. Step 3: Cross multiply
    21,242.25x = 43,405.88 × 43,405.88
  4. Step 4: Simplify right side
    21,242.25x = 1,884,069,984.52
  5. Step 5: Solve for x
    x = 1,884,069,984.52/21,242.25
  6. Step 6: Final answer
    x = 88,694.46

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.