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Finding the Third Proportional to 15,122.25 and 21,735.75

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Solution

The third proportional to 15,122.25 and 21,735.75 is: 31,241.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,122.25 : 21,735.75 = 21,735.75 : x
  2. Step 2: Convert to fraction form
    15,122.25/21,735.75 = 21,735.75/x
  3. Step 3: Cross multiply
    15,122.25x = 21,735.75 × 21,735.75
  4. Step 4: Simplify right side
    15,122.25x = 472,442,828.06
  5. Step 5: Solve for x
    x = 472,442,828.06/15,122.25
  6. Step 6: Final answer
    x = 31,241.57

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.