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Finding the Third Proportional to 29,880 and 43,418

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Solution

The third proportional to 29,880 and 43,418 is: 63,089.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,880 : 43,418 = 43,418 : x
  2. Step 2: Convert to fraction form
    29,880/43,418 = 43,418/x
  3. Step 3: Cross multiply
    29,880x = 43,418 × 43,418
  4. Step 4: Simplify right side
    29,880x = 1,885,122,724
  5. Step 5: Solve for x
    x = 1,885,122,724/29,880
  6. Step 6: Final answer
    x = 63,089.78

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.