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Finding the Third Proportional to 21,020.25 and 45,986.25

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Solution

The third proportional to 21,020.25 and 45,986.25 is: 100,604.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,020.25 : 45,986.25 = 45,986.25 : x
  2. Step 2: Convert to fraction form
    21,020.25/45,986.25 = 45,986.25/x
  3. Step 3: Cross multiply
    21,020.25x = 45,986.25 × 45,986.25
  4. Step 4: Simplify right side
    21,020.25x = 2,114,735,189.06
  5. Step 5: Solve for x
    x = 2,114,735,189.06/21,020.25
  6. Step 6: Final answer
    x = 100,604.66

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.