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Finding the Third Proportional to 14,094 and 33,389.72

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Solution

The third proportional to 14,094 and 33,389.72 is: 79,102.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,094 : 33,389.72 = 33,389.72 : x
  2. Step 2: Convert to fraction form
    14,094/33,389.72 = 33,389.72/x
  3. Step 3: Cross multiply
    14,094x = 33,389.72 × 33,389.72
  4. Step 4: Simplify right side
    14,094x = 1,114,873,318.20
  5. Step 5: Solve for x
    x = 1,114,873,318.20/14,094
  6. Step 6: Final answer
    x = 79,102.69

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.