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Finding the Third Proportional to 51,814.69 and 76,021.88

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Solution

The third proportional to 51,814.69 and 76,021.88 is: 111,538.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,814.69 : 76,021.88 = 76,021.88 : x
  2. Step 2: Convert to fraction form
    51,814.69/76,021.88 = 76,021.88/x
  3. Step 3: Cross multiply
    51,814.69x = 76,021.88 × 76,021.88
  4. Step 4: Simplify right side
    51,814.69x = 5,779,325,478.52
  5. Step 5: Solve for x
    x = 5,779,325,478.52/51,814.69
  6. Step 6: Final answer
    x = 111,538.36

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.