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Finding the Third Proportional to 34,838 and 76,351

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Solution

The third proportional to 34,838 and 76,351 is: 167,330.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,838 : 76,351 = 76,351 : x
  2. Step 2: Convert to fraction form
    34,838/76,351 = 76,351/x
  3. Step 3: Cross multiply
    34,838x = 76,351 × 76,351
  4. Step 4: Simplify right side
    34,838x = 5,829,475,201
  5. Step 5: Solve for x
    x = 5,829,475,201/34,838
  6. Step 6: Final answer
    x = 167,330.94

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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.