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Finding the Third Proportional to 6,996.69 and 15,415.79

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Solution

The third proportional to 6,996.69 and 15,415.79 is: 33,965.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.69 : 15,415.79 = 15,415.79 : x
  2. Step 2: Convert to fraction form
    6,996.69/15,415.79 = 15,415.79/x
  3. Step 3: Cross multiply
    6,996.69x = 15,415.79 × 15,415.79
  4. Step 4: Simplify right side
    6,996.69x = 237,646,492.20
  5. Step 5: Solve for x
    x = 237,646,492.20/6,996.69
  6. Step 6: Final answer
    x = 33,965.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.