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Finding the Third Proportional to 34,716 and 73,794

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Solution

The third proportional to 34,716 and 73,794 is: 156,860.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,716 : 73,794 = 73,794 : x
  2. Step 2: Convert to fraction form
    34,716/73,794 = 73,794/x
  3. Step 3: Cross multiply
    34,716x = 73,794 × 73,794
  4. Step 4: Simplify right side
    34,716x = 5,445,554,436
  5. Step 5: Solve for x
    x = 5,445,554,436/34,716
  6. Step 6: Final answer
    x = 156,860.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.