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Finding the Third Proportional to 51,652.69 and 76,519.69

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Solution

The third proportional to 51,652.69 and 76,519.69 is: 113,358.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,652.69 : 76,519.69 = 76,519.69 : x
  2. Step 2: Convert to fraction form
    51,652.69/76,519.69 = 76,519.69/x
  3. Step 3: Cross multiply
    51,652.69x = 76,519.69 × 76,519.69
  4. Step 4: Simplify right side
    51,652.69x = 5,855,262,575.10
  5. Step 5: Solve for x
    x = 5,855,262,575.10/51,652.69
  6. Step 6: Final answer
    x = 113,358.33

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.