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Finding the Third Proportional to 26,884 and 42,703

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Solution

The third proportional to 26,884 and 42,703 is: 67,830.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,884 : 42,703 = 42,703 : x
  2. Step 2: Convert to fraction form
    26,884/42,703 = 42,703/x
  3. Step 3: Cross multiply
    26,884x = 42,703 × 42,703
  4. Step 4: Simplify right side
    26,884x = 1,823,546,209
  5. Step 5: Solve for x
    x = 1,823,546,209/26,884
  6. Step 6: Final answer
    x = 67,830.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.