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Finding the Third Proportional to 16,349.34 and 34,179.47

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Solution

The third proportional to 16,349.34 and 34,179.47 is: 71,454.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,349.34 : 34,179.47 = 34,179.47 : x
  2. Step 2: Convert to fraction form
    16,349.34/34,179.47 = 34,179.47/x
  3. Step 3: Cross multiply
    16,349.34x = 34,179.47 × 34,179.47
  4. Step 4: Simplify right side
    16,349.34x = 1,168,236,084.03
  5. Step 5: Solve for x
    x = 1,168,236,084.03/16,349.34
  6. Step 6: Final answer
    x = 71,454.62

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.