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Finding the Third Proportional to 13,432.50 and 18,790.31

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Solution

The third proportional to 13,432.50 and 18,790.31 is: 26,285.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,432.50 : 18,790.31 = 18,790.31 : x
  2. Step 2: Convert to fraction form
    13,432.50/18,790.31 = 18,790.31/x
  3. Step 3: Cross multiply
    13,432.50x = 18,790.31 × 18,790.31
  4. Step 4: Simplify right side
    13,432.50x = 353,075,843.85
  5. Step 5: Solve for x
    x = 353,075,843.85/13,432.50
  6. Step 6: Final answer
    x = 26,285.19

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.