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Finding the Third Proportional to 27,409.50 and 40,142

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Solution

The third proportional to 27,409.50 and 40,142 is: 58,789.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,409.50 : 40,142 = 40,142 : x
  2. Step 2: Convert to fraction form
    27,409.50/40,142 = 40,142/x
  3. Step 3: Cross multiply
    27,409.50x = 40,142 × 40,142
  4. Step 4: Simplify right side
    27,409.50x = 1,611,380,164
  5. Step 5: Solve for x
    x = 1,611,380,164/27,409.50
  6. Step 6: Final answer
    x = 58,789.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.