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Finding the Third Proportional to 38,885.63 and 83,279.25

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Solution

The third proportional to 38,885.63 and 83,279.25 is: 178,354.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,885.63 : 83,279.25 = 83,279.25 : x
  2. Step 2: Convert to fraction form
    38,885.63/83,279.25 = 83,279.25/x
  3. Step 3: Cross multiply
    38,885.63x = 83,279.25 × 83,279.25
  4. Step 4: Simplify right side
    38,885.63x = 6,935,433,480.56
  5. Step 5: Solve for x
    x = 6,935,433,480.56/38,885.63
  6. Step 6: Final answer
    x = 178,354.69

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.