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Finding the Third Proportional to 14,377.50 and 22,021.31

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Solution

The third proportional to 14,377.50 and 22,021.31 is: 33,728.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,377.50 : 22,021.31 = 22,021.31 : x
  2. Step 2: Convert to fraction form
    14,377.50/22,021.31 = 22,021.31/x
  3. Step 3: Cross multiply
    14,377.50x = 22,021.31 × 22,021.31
  4. Step 4: Simplify right side
    14,377.50x = 484,938,204.22
  5. Step 5: Solve for x
    x = 484,938,204.22/14,377.50
  6. Step 6: Final answer
    x = 33,728.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.