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Finding the Third Proportional to 13,388 and 17,650

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Solution

The third proportional to 13,388 and 17,650 is: 23,268.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,388 : 17,650 = 17,650 : x
  2. Step 2: Convert to fraction form
    13,388/17,650 = 17,650/x
  3. Step 3: Cross multiply
    13,388x = 17,650 × 17,650
  4. Step 4: Simplify right side
    13,388x = 311,522,500
  5. Step 5: Solve for x
    x = 311,522,500/13,388
  6. Step 6: Final answer
    x = 23,268.79

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.