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Finding the Third Proportional to 16,305 and 35,735

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Solution

The third proportional to 16,305 and 35,735 is: 78,318.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,305 : 35,735 = 35,735 : x
  2. Step 2: Convert to fraction form
    16,305/35,735 = 35,735/x
  3. Step 3: Cross multiply
    16,305x = 35,735 × 35,735
  4. Step 4: Simplify right side
    16,305x = 1,276,990,225
  5. Step 5: Solve for x
    x = 1,276,990,225/16,305
  6. Step 6: Final answer
    x = 78,318.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.