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Finding the Third Proportional to 7,059.45 and 15,212.39

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Solution

The third proportional to 7,059.45 and 15,212.39 is: 32,781.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,059.45 : 15,212.39 = 15,212.39 : x
  2. Step 2: Convert to fraction form
    7,059.45/15,212.39 = 15,212.39/x
  3. Step 3: Cross multiply
    7,059.45x = 15,212.39 × 15,212.39
  4. Step 4: Simplify right side
    7,059.45x = 231,416,828.53
  5. Step 5: Solve for x
    x = 231,416,828.53/7,059.45
  6. Step 6: Final answer
    x = 32,781.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.