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Finding the Third Proportional to 14,080.50 and 29,954

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Solution

The third proportional to 14,080.50 and 29,954 is: 63,722.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,080.50 : 29,954 = 29,954 : x
  2. Step 2: Convert to fraction form
    14,080.50/29,954 = 29,954/x
  3. Step 3: Cross multiply
    14,080.50x = 29,954 × 29,954
  4. Step 4: Simplify right side
    14,080.50x = 897,242,116
  5. Step 5: Solve for x
    x = 897,242,116/14,080.50
  6. Step 6: Final answer
    x = 63,722.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.