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Finding the Third Proportional to 38,522.25 and 84,134.25

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Solution

The third proportional to 38,522.25 and 84,134.25 is: 183,752.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,522.25 : 84,134.25 = 84,134.25 : x
  2. Step 2: Convert to fraction form
    38,522.25/84,134.25 = 84,134.25/x
  3. Step 3: Cross multiply
    38,522.25x = 84,134.25 × 84,134.25
  4. Step 4: Simplify right side
    38,522.25x = 7,078,572,023.06
  5. Step 5: Solve for x
    x = 7,078,572,023.06/38,522.25
  6. Step 6: Final answer
    x = 183,752.82

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