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Finding the Third Proportional to 15,998.50 and 25,559

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Solution

The third proportional to 15,998.50 and 25,559 is: 40,832.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,998.50 : 25,559 = 25,559 : x
  2. Step 2: Convert to fraction form
    15,998.50/25,559 = 25,559/x
  3. Step 3: Cross multiply
    15,998.50x = 25,559 × 25,559
  4. Step 4: Simplify right side
    15,998.50x = 653,262,481
  5. Step 5: Solve for x
    x = 653,262,481/15,998.50
  6. Step 6: Final answer
    x = 40,832.73

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.