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Finding the Third Proportional to 15,148.69 and 35,380.97

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Solution

The third proportional to 15,148.69 and 35,380.97 is: 82,635.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,148.69 : 35,380.97 = 35,380.97 : x
  2. Step 2: Convert to fraction form
    15,148.69/35,380.97 = 35,380.97/x
  3. Step 3: Cross multiply
    15,148.69x = 35,380.97 × 35,380.97
  4. Step 4: Simplify right side
    15,148.69x = 1,251,812,949.69
  5. Step 5: Solve for x
    x = 1,251,812,949.69/15,148.69
  6. Step 6: Final answer
    x = 82,635.08

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.