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Finding the Third Proportional to 32,821.88 and 49,620.94

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Solution

The third proportional to 32,821.88 and 49,620.94 is: 75,018.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,821.88 : 49,620.94 = 49,620.94 : x
  2. Step 2: Convert to fraction form
    32,821.88/49,620.94 = 49,620.94/x
  3. Step 3: Cross multiply
    32,821.88x = 49,620.94 × 49,620.94
  4. Step 4: Simplify right side
    32,821.88x = 2,462,237,438.38
  5. Step 5: Solve for x
    x = 2,462,237,438.38/32,821.88
  6. Step 6: Final answer
    x = 75,018.18

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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.