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Finding the Third Proportional to 14,036 and 29,992

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Solution

The third proportional to 14,036 and 29,992 is: 64,086.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,036 : 29,992 = 29,992 : x
  2. Step 2: Convert to fraction form
    14,036/29,992 = 29,992/x
  3. Step 3: Cross multiply
    14,036x = 29,992 × 29,992
  4. Step 4: Simplify right side
    14,036x = 899,520,064
  5. Step 5: Solve for x
    x = 899,520,064/14,036
  6. Step 6: Final answer
    x = 64,086.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.