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Finding the Third Proportional to 35,663.50 and 55,194

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Solution

The third proportional to 35,663.50 and 55,194 is: 85,420.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,663.50 : 55,194 = 55,194 : x
  2. Step 2: Convert to fraction form
    35,663.50/55,194 = 55,194/x
  3. Step 3: Cross multiply
    35,663.50x = 55,194 × 55,194
  4. Step 4: Simplify right side
    35,663.50x = 3,046,377,636
  5. Step 5: Solve for x
    x = 3,046,377,636/35,663.50
  6. Step 6: Final answer
    x = 85,420.04

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.