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Finding the Third Proportional to 39,493.50 and 87,735

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Solution

The third proportional to 39,493.50 and 87,735 is: 194,903.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,493.50 : 87,735 = 87,735 : x
  2. Step 2: Convert to fraction form
    39,493.50/87,735 = 87,735/x
  3. Step 3: Cross multiply
    39,493.50x = 87,735 × 87,735
  4. Step 4: Simplify right side
    39,493.50x = 7,697,430,225
  5. Step 5: Solve for x
    x = 7,697,430,225/39,493.50
  6. Step 6: Final answer
    x = 194,903.72

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.