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Finding the Third Proportional to 29,880 and 65,086

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Solution

The third proportional to 29,880 and 65,086 is: 141,773.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,880 : 65,086 = 65,086 : x
  2. Step 2: Convert to fraction form
    29,880/65,086 = 65,086/x
  3. Step 3: Cross multiply
    29,880x = 65,086 × 65,086
  4. Step 4: Simplify right side
    29,880x = 4,236,187,396
  5. Step 5: Solve for x
    x = 4,236,187,396/29,880
  6. Step 6: Final answer
    x = 141,773.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.