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Finding the Third Proportional to 32,096.25 and 49,404.94

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Solution

The third proportional to 32,096.25 and 49,404.94 is: 76,047.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,096.25 : 49,404.94 = 49,404.94 : x
  2. Step 2: Convert to fraction form
    32,096.25/49,404.94 = 49,404.94/x
  3. Step 3: Cross multiply
    32,096.25x = 49,404.94 × 49,404.94
  4. Step 4: Simplify right side
    32,096.25x = 2,440,847,849.38
  5. Step 5: Solve for x
    x = 2,440,847,849.38/32,096.25
  6. Step 6: Final answer
    x = 76,047.76

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.