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Finding the Third Proportional to 38,321 and 83,770

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Solution

The third proportional to 38,321 and 83,770 is: 183,121.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,321 : 83,770 = 83,770 : x
  2. Step 2: Convert to fraction form
    38,321/83,770 = 83,770/x
  3. Step 3: Cross multiply
    38,321x = 83,770 × 83,770
  4. Step 4: Simplify right side
    38,321x = 7,017,412,900
  5. Step 5: Solve for x
    x = 7,017,412,900/38,321
  6. Step 6: Final answer
    x = 183,121.86

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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.