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Finding the Third Proportional to 38,683 and 84,833

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Solution

The third proportional to 38,683 and 84,833 is: 186,041.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,683 : 84,833 = 84,833 : x
  2. Step 2: Convert to fraction form
    38,683/84,833 = 84,833/x
  3. Step 3: Cross multiply
    38,683x = 84,833 × 84,833
  4. Step 4: Simplify right side
    38,683x = 7,196,637,889
  5. Step 5: Solve for x
    x = 7,196,637,889/38,683
  6. Step 6: Final answer
    x = 186,041.36

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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.