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Finding the Third Proportional to 41,829 and 90,786

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Solution

The third proportional to 41,829 and 90,786 is: 197,042.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,829 : 90,786 = 90,786 : x
  2. Step 2: Convert to fraction form
    41,829/90,786 = 90,786/x
  3. Step 3: Cross multiply
    41,829x = 90,786 × 90,786
  4. Step 4: Simplify right side
    41,829x = 8,242,097,796
  5. Step 5: Solve for x
    x = 8,242,097,796/41,829
  6. Step 6: Final answer
    x = 197,042.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.