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Finding the Third Proportional to 38,830 and 84,006

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Solution

The third proportional to 38,830 and 84,006 is: 181,741.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,830 : 84,006 = 84,006 : x
  2. Step 2: Convert to fraction form
    38,830/84,006 = 84,006/x
  3. Step 3: Cross multiply
    38,830x = 84,006 × 84,006
  4. Step 4: Simplify right side
    38,830x = 7,057,008,036
  5. Step 5: Solve for x
    x = 7,057,008,036/38,830
  6. Step 6: Final answer
    x = 181,741.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.