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Finding the Third Proportional to 13,693 and 28,035

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Solution

The third proportional to 13,693 and 28,035 is: 57,398.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,693 : 28,035 = 28,035 : x
  2. Step 2: Convert to fraction form
    13,693/28,035 = 28,035/x
  3. Step 3: Cross multiply
    13,693x = 28,035 × 28,035
  4. Step 4: Simplify right side
    13,693x = 785,961,225
  5. Step 5: Solve for x
    x = 785,961,225/13,693
  6. Step 6: Final answer
    x = 57,398.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.