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Finding the Third Proportional to 21,085.25 and 45,296.75

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Solution

The third proportional to 21,085.25 and 45,296.75 is: 97,309.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,085.25 : 45,296.75 = 45,296.75 : x
  2. Step 2: Convert to fraction form
    21,085.25/45,296.75 = 45,296.75/x
  3. Step 3: Cross multiply
    21,085.25x = 45,296.75 × 45,296.75
  4. Step 4: Simplify right side
    21,085.25x = 2,051,795,560.56
  5. Step 5: Solve for x
    x = 2,051,795,560.56/21,085.25
  6. Step 6: Final answer
    x = 97,309.52

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.