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Finding the Third Proportional to 10,012.50 and 13,632.75

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Solution

The third proportional to 10,012.50 and 13,632.75 is: 18,561.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.50 : 13,632.75 = 13,632.75 : x
  2. Step 2: Convert to fraction form
    10,012.50/13,632.75 = 13,632.75/x
  3. Step 3: Cross multiply
    10,012.50x = 13,632.75 × 13,632.75
  4. Step 4: Simplify right side
    10,012.50x = 185,851,872.56
  5. Step 5: Solve for x
    x = 185,851,872.56/10,012.50
  6. Step 6: Final answer
    x = 18,561.98

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.