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Finding the Third Proportional to 14,135 and 30,735

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Solution

The third proportional to 14,135 and 30,735 is: 66,829.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,135 : 30,735 = 30,735 : x
  2. Step 2: Convert to fraction form
    14,135/30,735 = 30,735/x
  3. Step 3: Cross multiply
    14,135x = 30,735 × 30,735
  4. Step 4: Simplify right side
    14,135x = 944,640,225
  5. Step 5: Solve for x
    x = 944,640,225/14,135
  6. Step 6: Final answer
    x = 66,829.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.