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Finding the Third Proportional to 29,960 and 57,589

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Solution

The third proportional to 29,960 and 57,589 is: 110,697.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,960 : 57,589 = 57,589 : x
  2. Step 2: Convert to fraction form
    29,960/57,589 = 57,589/x
  3. Step 3: Cross multiply
    29,960x = 57,589 × 57,589
  4. Step 4: Simplify right side
    29,960x = 3,316,492,921
  5. Step 5: Solve for x
    x = 3,316,492,921/29,960
  6. Step 6: Final answer
    x = 110,697.36

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.