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Finding the Third Proportional to 7,102.69 and 15,013.69

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Solution

The third proportional to 7,102.69 and 15,013.69 is: 31,735.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.69 : 15,013.69 = 15,013.69 : x
  2. Step 2: Convert to fraction form
    7,102.69/15,013.69 = 15,013.69/x
  3. Step 3: Cross multiply
    7,102.69x = 15,013.69 × 15,013.69
  4. Step 4: Simplify right side
    7,102.69x = 225,410,812.35
  5. Step 5: Solve for x
    x = 225,410,812.35/7,102.69
  6. Step 6: Final answer
    x = 31,735.99

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.