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Finding the Third Proportional to 13,750 and 30,659

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Solution

The third proportional to 13,750 and 30,659 is: 68,361.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,750 : 30,659 = 30,659 : x
  2. Step 2: Convert to fraction form
    13,750/30,659 = 30,659/x
  3. Step 3: Cross multiply
    13,750x = 30,659 × 30,659
  4. Step 4: Simplify right side
    13,750x = 939,974,281
  5. Step 5: Solve for x
    x = 939,974,281/13,750
  6. Step 6: Final answer
    x = 68,361.77

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.