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Finding the Third Proportional to 13,015.69 and 16,635.38

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Solution

The third proportional to 13,015.69 and 16,635.38 is: 21,261.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,015.69 : 16,635.38 = 16,635.38 : x
  2. Step 2: Convert to fraction form
    13,015.69/16,635.38 = 16,635.38/x
  3. Step 3: Cross multiply
    13,015.69x = 16,635.38 × 16,635.38
  4. Step 4: Simplify right side
    13,015.69x = 276,735,701.39
  5. Step 5: Solve for x
    x = 276,735,701.39/13,015.69
  6. Step 6: Final answer
    x = 21,261.70

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.