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Finding the Third Proportional to 21,195.75 and 32,840.25

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Solution

The third proportional to 21,195.75 and 32,840.25 is: 50,881.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,195.75 : 32,840.25 = 32,840.25 : x
  2. Step 2: Convert to fraction form
    21,195.75/32,840.25 = 32,840.25/x
  3. Step 3: Cross multiply
    21,195.75x = 32,840.25 × 32,840.25
  4. Step 4: Simplify right side
    21,195.75x = 1,078,482,020.06
  5. Step 5: Solve for x
    x = 1,078,482,020.06/21,195.75
  6. Step 6: Final answer
    x = 50,881.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.