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Finding the Third Proportional to 29,559 and 65,679

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Solution

The third proportional to 29,559 and 65,679 is: 145,936.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,559 : 65,679 = 65,679 : x
  2. Step 2: Convert to fraction form
    29,559/65,679 = 65,679/x
  3. Step 3: Cross multiply
    29,559x = 65,679 × 65,679
  4. Step 4: Simplify right side
    29,559x = 4,313,731,041
  5. Step 5: Solve for x
    x = 4,313,731,041/29,559
  6. Step 6: Final answer
    x = 145,936.30

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.