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Finding the Third Proportional to 35,657.50 and 55,185

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Solution

The third proportional to 35,657.50 and 55,185 is: 85,406.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,657.50 : 55,185 = 55,185 : x
  2. Step 2: Convert to fraction form
    35,657.50/55,185 = 55,185/x
  3. Step 3: Cross multiply
    35,657.50x = 55,185 × 55,185
  4. Step 4: Simplify right side
    35,657.50x = 3,045,384,225
  5. Step 5: Solve for x
    x = 3,045,384,225/35,657.50
  6. Step 6: Final answer
    x = 85,406.55

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Why These Related Problems?

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