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Finding the Third Proportional to 29,612 and 43,968

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Solution

The third proportional to 29,612 and 43,968 is: 65,283.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,612 : 43,968 = 43,968 : x
  2. Step 2: Convert to fraction form
    29,612/43,968 = 43,968/x
  3. Step 3: Cross multiply
    29,612x = 43,968 × 43,968
  4. Step 4: Simplify right side
    29,612x = 1,933,185,024
  5. Step 5: Solve for x
    x = 1,933,185,024/29,612
  6. Step 6: Final answer
    x = 65,283.84

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.