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Finding the Third Proportional to 22,340 and 34,735

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Solution

The third proportional to 22,340 and 34,735 is: 54,007.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,340 : 34,735 = 34,735 : x
  2. Step 2: Convert to fraction form
    22,340/34,735 = 34,735/x
  3. Step 3: Cross multiply
    22,340x = 34,735 × 34,735
  4. Step 4: Simplify right side
    22,340x = 1,206,520,225
  5. Step 5: Solve for x
    x = 1,206,520,225/22,340
  6. Step 6: Final answer
    x = 54,007.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.