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Finding the Third Proportional to 41,683 and 88,833

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Solution

The third proportional to 41,683 and 88,833 is: 189,317.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,683 : 88,833 = 88,833 : x
  2. Step 2: Convert to fraction form
    41,683/88,833 = 88,833/x
  3. Step 3: Cross multiply
    41,683x = 88,833 × 88,833
  4. Step 4: Simplify right side
    41,683x = 7,891,301,889
  5. Step 5: Solve for x
    x = 7,891,301,889/41,683
  6. Step 6: Final answer
    x = 189,317.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.