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Finding the Third Proportional to 21,452.63 and 32,817.38

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Solution

The third proportional to 21,452.63 and 32,817.38 is: 50,202.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,452.63 : 32,817.38 = 32,817.38 : x
  2. Step 2: Convert to fraction form
    21,452.63/32,817.38 = 32,817.38/x
  3. Step 3: Cross multiply
    21,452.63x = 32,817.38 × 32,817.38
  4. Step 4: Simplify right side
    21,452.63x = 1,076,980,101.89
  5. Step 5: Solve for x
    x = 1,076,980,101.89/21,452.63
  6. Step 6: Final answer
    x = 50,202.72

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.