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Finding the Third Proportional to 31,450 and 42,735

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Solution

The third proportional to 31,450 and 42,735 is: 58,069.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,450 : 42,735 = 42,735 : x
  2. Step 2: Convert to fraction form
    31,450/42,735 = 42,735/x
  3. Step 3: Cross multiply
    31,450x = 42,735 × 42,735
  4. Step 4: Simplify right side
    31,450x = 1,826,280,225
  5. Step 5: Solve for x
    x = 1,826,280,225/31,450
  6. Step 6: Final answer
    x = 58,069.32

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.