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Finding the Third Proportional to 35,013 and 76,829

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Solution

The third proportional to 35,013 and 76,829 is: 168,585.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,013 : 76,829 = 76,829 : x
  2. Step 2: Convert to fraction form
    35,013/76,829 = 76,829/x
  3. Step 3: Cross multiply
    35,013x = 76,829 × 76,829
  4. Step 4: Simplify right side
    35,013x = 5,902,695,241
  5. Step 5: Solve for x
    x = 5,902,695,241/35,013
  6. Step 6: Final answer
    x = 168,585.82

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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.