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Finding the Third Proportional to 40,059.50 and 92,735

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Solution

The third proportional to 40,059.50 and 92,735 is: 214,675.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,059.50 : 92,735 = 92,735 : x
  2. Step 2: Convert to fraction form
    40,059.50/92,735 = 92,735/x
  3. Step 3: Cross multiply
    40,059.50x = 92,735 × 92,735
  4. Step 4: Simplify right side
    40,059.50x = 8,599,780,225
  5. Step 5: Solve for x
    x = 8,599,780,225/40,059.50
  6. Step 6: Final answer
    x = 214,675.18

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.