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Finding the Third Proportional to 34,071.38 and 79,584.38

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Solution

The third proportional to 34,071.38 and 79,584.38 is: 185,894.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,071.38 : 79,584.38 = 79,584.38 : x
  2. Step 2: Convert to fraction form
    34,071.38/79,584.38 = 79,584.38/x
  3. Step 3: Cross multiply
    34,071.38x = 79,584.38 × 79,584.38
  4. Step 4: Simplify right side
    34,071.38x = 6,333,672,744.14
  5. Step 5: Solve for x
    x = 6,333,672,744.14/34,071.38
  6. Step 6: Final answer
    x = 185,894.25

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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.