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Finding the Third Proportional to 14,092.50 and 18,534.75

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Solution

The third proportional to 14,092.50 and 18,534.75 is: 24,377.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,092.50 : 18,534.75 = 18,534.75 : x
  2. Step 2: Convert to fraction form
    14,092.50/18,534.75 = 18,534.75/x
  3. Step 3: Cross multiply
    14,092.50x = 18,534.75 × 18,534.75
  4. Step 4: Simplify right side
    14,092.50x = 343,536,957.56
  5. Step 5: Solve for x
    x = 343,536,957.56/14,092.50
  6. Step 6: Final answer
    x = 24,377.29

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.