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Finding the Third Proportional to 7,093.69 and 15,415.88

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Solution

The third proportional to 7,093.69 and 15,415.88 is: 33,501.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,093.69 : 15,415.88 = 15,415.88 : x
  2. Step 2: Convert to fraction form
    7,093.69/15,415.88 = 15,415.88/x
  3. Step 3: Cross multiply
    7,093.69x = 15,415.88 × 15,415.88
  4. Step 4: Simplify right side
    7,093.69x = 237,649,202.02
  5. Step 5: Solve for x
    x = 237,649,202.02/7,093.69
  6. Step 6: Final answer
    x = 33,501.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.