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Finding the Third Proportional to 29,840 and 65,996

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Solution

The third proportional to 29,840 and 65,996 is: 145,960.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,840 : 65,996 = 65,996 : x
  2. Step 2: Convert to fraction form
    29,840/65,996 = 65,996/x
  3. Step 3: Cross multiply
    29,840x = 65,996 × 65,996
  4. Step 4: Simplify right side
    29,840x = 4,355,472,016
  5. Step 5: Solve for x
    x = 4,355,472,016/29,840
  6. Step 6: Final answer
    x = 145,960.86

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.