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Finding the Third Proportional to 16,798 and 22,735

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Solution

The third proportional to 16,798 and 22,735 is: 30,770.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,798 : 22,735 = 22,735 : x
  2. Step 2: Convert to fraction form
    16,798/22,735 = 22,735/x
  3. Step 3: Cross multiply
    16,798x = 22,735 × 22,735
  4. Step 4: Simplify right side
    16,798x = 516,880,225
  5. Step 5: Solve for x
    x = 516,880,225/16,798
  6. Step 6: Final answer
    x = 30,770.34

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.