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Finding the Third Proportional to 38,886 and 83,279.63

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Solution

The third proportional to 38,886 and 83,279.63 is: 178,354.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,886 : 83,279.63 = 83,279.63 : x
  2. Step 2: Convert to fraction form
    38,886/83,279.63 = 83,279.63/x
  3. Step 3: Cross multiply
    38,886x = 83,279.63 × 83,279.63
  4. Step 4: Simplify right side
    38,886x = 6,935,495,940.14
  5. Step 5: Solve for x
    x = 6,935,495,940.14/38,886
  6. Step 6: Final answer
    x = 178,354.57

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Why These Related Problems?

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