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Finding the Third Proportional to 38,522 and 84,092

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Solution

The third proportional to 38,522 and 84,092 is: 183,569.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,522 : 84,092 = 84,092 : x
  2. Step 2: Convert to fraction form
    38,522/84,092 = 84,092/x
  3. Step 3: Cross multiply
    38,522x = 84,092 × 84,092
  4. Step 4: Simplify right side
    38,522x = 7,071,464,464
  5. Step 5: Solve for x
    x = 7,071,464,464/38,522
  6. Step 6: Final answer
    x = 183,569.50

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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.