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Finding the Third Proportional to 38,430 and 83,592

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Solution

The third proportional to 38,430 and 83,592 is: 181,827.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,430 : 83,592 = 83,592 : x
  2. Step 2: Convert to fraction form
    38,430/83,592 = 83,592/x
  3. Step 3: Cross multiply
    38,430x = 83,592 × 83,592
  4. Step 4: Simplify right side
    38,430x = 6,987,622,464
  5. Step 5: Solve for x
    x = 6,987,622,464/38,430
  6. Step 6: Final answer
    x = 181,827.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.