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Finding the Third Proportional to 38,893.50 and 83,118

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Solution

The third proportional to 38,893.50 and 83,118 is: 177,628.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,893.50 : 83,118 = 83,118 : x
  2. Step 2: Convert to fraction form
    38,893.50/83,118 = 83,118/x
  3. Step 3: Cross multiply
    38,893.50x = 83,118 × 83,118
  4. Step 4: Simplify right side
    38,893.50x = 6,908,601,924
  5. Step 5: Solve for x
    x = 6,908,601,924/38,893.50
  6. Step 6: Final answer
    x = 177,628.70

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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.