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Finding the Third Proportional to 34,841 and 76,354

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Solution

The third proportional to 34,841 and 76,354 is: 167,329.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,841 : 76,354 = 76,354 : x
  2. Step 2: Convert to fraction form
    34,841/76,354 = 76,354/x
  3. Step 3: Cross multiply
    34,841x = 76,354 × 76,354
  4. Step 4: Simplify right side
    34,841x = 5,829,933,316
  5. Step 5: Solve for x
    x = 5,829,933,316/34,841
  6. Step 6: Final answer
    x = 167,329.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.