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Finding the Third Proportional to 14,129.50 and 21,844

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Solution

The third proportional to 14,129.50 and 21,844 is: 33,770.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,129.50 : 21,844 = 21,844 : x
  2. Step 2: Convert to fraction form
    14,129.50/21,844 = 21,844/x
  3. Step 3: Cross multiply
    14,129.50x = 21,844 × 21,844
  4. Step 4: Simplify right side
    14,129.50x = 477,160,336
  5. Step 5: Solve for x
    x = 477,160,336/14,129.50
  6. Step 6: Final answer
    x = 33,770.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.