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Finding the Third Proportional to 13,072 and 20,240

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Solution

The third proportional to 13,072 and 20,240 is: 31,338.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,072 : 20,240 = 20,240 : x
  2. Step 2: Convert to fraction form
    13,072/20,240 = 20,240/x
  3. Step 3: Cross multiply
    13,072x = 20,240 × 20,240
  4. Step 4: Simplify right side
    13,072x = 409,657,600
  5. Step 5: Solve for x
    x = 409,657,600/13,072
  6. Step 6: Final answer
    x = 31,338.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.