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Finding the Third Proportional to 7,059.75 and 15,224.25

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Solution

The third proportional to 7,059.75 and 15,224.25 is: 32,830.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,059.75 : 15,224.25 = 15,224.25 : x
  2. Step 2: Convert to fraction form
    7,059.75/15,224.25 = 15,224.25/x
  3. Step 3: Cross multiply
    7,059.75x = 15,224.25 × 15,224.25
  4. Step 4: Simplify right side
    7,059.75x = 231,777,788.06
  5. Step 5: Solve for x
    x = 231,777,788.06/7,059.75
  6. Step 6: Final answer
    x = 32,830.88

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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.