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Finding the Third Proportional to 11,590.31 and 25,028.44

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Solution

The third proportional to 11,590.31 and 25,028.44 is: 54,047.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,590.31 : 25,028.44 = 25,028.44 : x
  2. Step 2: Convert to fraction form
    11,590.31/25,028.44 = 25,028.44/x
  3. Step 3: Cross multiply
    11,590.31x = 25,028.44 × 25,028.44
  4. Step 4: Simplify right side
    11,590.31x = 626,422,683.69
  5. Step 5: Solve for x
    x = 626,422,683.69/11,590.31
  6. Step 6: Final answer
    x = 54,047.09

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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.