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Finding the Third Proportional to 21,512.25 and 46,320.19

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Solution

The third proportional to 21,512.25 and 46,320.19 is: 99,736.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,512.25 : 46,320.19 = 46,320.19 : x
  2. Step 2: Convert to fraction form
    21,512.25/46,320.19 = 46,320.19/x
  3. Step 3: Cross multiply
    21,512.25x = 46,320.19 × 46,320.19
  4. Step 4: Simplify right side
    21,512.25x = 2,145,559,770.04
  5. Step 5: Solve for x
    x = 2,145,559,770.04/21,512.25
  6. Step 6: Final answer
    x = 99,736.65

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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.