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Finding the Third Proportional to 34,843 and 76,358

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Solution

The third proportional to 34,843 and 76,358 is: 167,337.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,843 : 76,358 = 76,358 : x
  2. Step 2: Convert to fraction form
    34,843/76,358 = 76,358/x
  3. Step 3: Cross multiply
    34,843x = 76,358 × 76,358
  4. Step 4: Simplify right side
    34,843x = 5,830,544,164
  5. Step 5: Solve for x
    x = 5,830,544,164/34,843
  6. Step 6: Final answer
    x = 167,337.60

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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.