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Finding the Third Proportional to 38,949.50 and 85,105.50

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Solution

The third proportional to 38,949.50 and 85,105.50 is: 185,957.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,949.50 : 85,105.50 = 85,105.50 : x
  2. Step 2: Convert to fraction form
    38,949.50/85,105.50 = 85,105.50/x
  3. Step 3: Cross multiply
    38,949.50x = 85,105.50 × 85,105.50
  4. Step 4: Simplify right side
    38,949.50x = 7,242,946,130.25
  5. Step 5: Solve for x
    x = 7,242,946,130.25/38,949.50
  6. Step 6: Final answer
    x = 185,957.36

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.