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Finding the Third Proportional to 21,021.40 and 31,620.38

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Solution

The third proportional to 21,021.40 and 31,620.38 is: 47,563.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,021.40 : 31,620.38 = 31,620.38 : x
  2. Step 2: Convert to fraction form
    21,021.40/31,620.38 = 31,620.38/x
  3. Step 3: Cross multiply
    21,021.40x = 31,620.38 × 31,620.38
  4. Step 4: Simplify right side
    21,021.40x = 999,848,115.14
  5. Step 5: Solve for x
    x = 999,848,115.14/21,021.40
  6. Step 6: Final answer
    x = 47,563.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.