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Finding the Third Proportional to 7,013.44 and 15,346.69

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Solution

The third proportional to 7,013.44 and 15,346.69 is: 33,581.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.44 : 15,346.69 = 15,346.69 : x
  2. Step 2: Convert to fraction form
    7,013.44/15,346.69 = 15,346.69/x
  3. Step 3: Cross multiply
    7,013.44x = 15,346.69 × 15,346.69
  4. Step 4: Simplify right side
    7,013.44x = 235,520,817.22
  5. Step 5: Solve for x
    x = 235,520,817.22/7,013.44
  6. Step 6: Final answer
    x = 33,581.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.