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Finding the Third Proportional to 13,640 and 20,640

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Solution

The third proportional to 13,640 and 20,640 is: 31,232.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,640 : 20,640 = 20,640 : x
  2. Step 2: Convert to fraction form
    13,640/20,640 = 20,640/x
  3. Step 3: Cross multiply
    13,640x = 20,640 × 20,640
  4. Step 4: Simplify right side
    13,640x = 426,009,600
  5. Step 5: Solve for x
    x = 426,009,600/13,640
  6. Step 6: Final answer
    x = 31,232.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.