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Finding the Third Proportional to 29,848 and 65,644

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Solution

The third proportional to 29,848 and 65,644 is: 144,369.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,848 : 65,644 = 65,644 : x
  2. Step 2: Convert to fraction form
    29,848/65,644 = 65,644/x
  3. Step 3: Cross multiply
    29,848x = 65,644 × 65,644
  4. Step 4: Simplify right side
    29,848x = 4,309,134,736
  5. Step 5: Solve for x
    x = 4,309,134,736/29,848
  6. Step 6: Final answer
    x = 144,369.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.