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Finding the Third Proportional to 11,200.50 and 16,328.25

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Solution

The third proportional to 11,200.50 and 16,328.25 is: 23,803.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,200.50 : 16,328.25 = 16,328.25 : x
  2. Step 2: Convert to fraction form
    11,200.50/16,328.25 = 16,328.25/x
  3. Step 3: Cross multiply
    11,200.50x = 16,328.25 × 16,328.25
  4. Step 4: Simplify right side
    11,200.50x = 266,611,748.06
  5. Step 5: Solve for x
    x = 266,611,748.06/11,200.50
  6. Step 6: Final answer
    x = 23,803.56

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.