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Finding the Third Proportional to 29,717 and 64,765

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Solution

The third proportional to 29,717 and 64,765 is: 141,148.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,717 : 64,765 = 64,765 : x
  2. Step 2: Convert to fraction form
    29,717/64,765 = 64,765/x
  3. Step 3: Cross multiply
    29,717x = 64,765 × 64,765
  4. Step 4: Simplify right side
    29,717x = 4,194,505,225
  5. Step 5: Solve for x
    x = 4,194,505,225/29,717
  6. Step 6: Final answer
    x = 141,148.34

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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.