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Finding the Third Proportional to 8,499.50 and 18,315

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Solution

The third proportional to 8,499.50 and 18,315 is: 39,465.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,499.50 : 18,315 = 18,315 : x
  2. Step 2: Convert to fraction form
    8,499.50/18,315 = 18,315/x
  3. Step 3: Cross multiply
    8,499.50x = 18,315 × 18,315
  4. Step 4: Simplify right side
    8,499.50x = 335,439,225
  5. Step 5: Solve for x
    x = 335,439,225/8,499.50
  6. Step 6: Final answer
    x = 39,465.76

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.