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Finding the Third Proportional to 51,404.47 and 76,678.84

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Solution

The third proportional to 51,404.47 and 76,678.84 is: 114,380.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,404.47 : 76,678.84 = 76,678.84 : x
  2. Step 2: Convert to fraction form
    51,404.47/76,678.84 = 76,678.84/x
  3. Step 3: Cross multiply
    51,404.47x = 76,678.84 × 76,678.84
  4. Step 4: Simplify right side
    51,404.47x = 5,879,644,479.78
  5. Step 5: Solve for x
    x = 5,879,644,479.78/51,404.47
  6. Step 6: Final answer
    x = 114,380.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.