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Finding the Third Proportional to 34,828 and 76,332

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Solution

The third proportional to 34,828 and 76,332 is: 167,295.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,828 : 76,332 = 76,332 : x
  2. Step 2: Convert to fraction form
    34,828/76,332 = 76,332/x
  3. Step 3: Cross multiply
    34,828x = 76,332 × 76,332
  4. Step 4: Simplify right side
    34,828x = 5,826,574,224
  5. Step 5: Solve for x
    x = 5,826,574,224/34,828
  6. Step 6: Final answer
    x = 167,295.69

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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.