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Finding the Third Proportional to 39,535.50 and 62,823

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Solution

The third proportional to 39,535.50 and 62,823 is: 99,827.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,535.50 : 62,823 = 62,823 : x
  2. Step 2: Convert to fraction form
    39,535.50/62,823 = 62,823/x
  3. Step 3: Cross multiply
    39,535.50x = 62,823 × 62,823
  4. Step 4: Simplify right side
    39,535.50x = 3,946,729,329
  5. Step 5: Solve for x
    x = 3,946,729,329/39,535.50
  6. Step 6: Final answer
    x = 99,827.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.