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Finding the Third Proportional to 21,147.75 and 32,729.06

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Solution

The third proportional to 21,147.75 and 32,729.06 is: 50,652.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,147.75 : 32,729.06 = 32,729.06 : x
  2. Step 2: Convert to fraction form
    21,147.75/32,729.06 = 32,729.06/x
  3. Step 3: Cross multiply
    21,147.75x = 32,729.06 × 32,729.06
  4. Step 4: Simplify right side
    21,147.75x = 1,071,191,532.13
  5. Step 5: Solve for x
    x = 1,071,191,532.13/21,147.75
  6. Step 6: Final answer
    x = 50,652.74

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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.