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Finding the Third Proportional to 21,817.13 and 32,907.94

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Solution

The third proportional to 21,817.13 and 32,907.94 is: 49,636.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,817.13 : 32,907.94 = 32,907.94 : x
  2. Step 2: Convert to fraction form
    21,817.13/32,907.94 = 32,907.94/x
  3. Step 3: Cross multiply
    21,817.13x = 32,907.94 × 32,907.94
  4. Step 4: Simplify right side
    21,817.13x = 1,082,932,350.50
  5. Step 5: Solve for x
    x = 1,082,932,350.50/21,817.13
  6. Step 6: Final answer
    x = 49,636.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.