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Finding the Third Proportional to 23,668.31 and 51,027.19

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Solution

The third proportional to 23,668.31 and 51,027.19 is: 110,010.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,668.31 : 51,027.19 = 51,027.19 : x
  2. Step 2: Convert to fraction form
    23,668.31/51,027.19 = 51,027.19/x
  3. Step 3: Cross multiply
    23,668.31x = 51,027.19 × 51,027.19
  4. Step 4: Simplify right side
    23,668.31x = 2,603,773,864.16
  5. Step 5: Solve for x
    x = 2,603,773,864.16/23,668.31
  6. Step 6: Final answer
    x = 110,010.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.