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Finding the Third Proportional to 8,250.75 and 17,311.50

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Solution

The third proportional to 8,250.75 and 17,311.50 is: 36,322.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,250.75 : 17,311.50 = 17,311.50 : x
  2. Step 2: Convert to fraction form
    8,250.75/17,311.50 = 17,311.50/x
  3. Step 3: Cross multiply
    8,250.75x = 17,311.50 × 17,311.50
  4. Step 4: Simplify right side
    8,250.75x = 299,688,032.25
  5. Step 5: Solve for x
    x = 299,688,032.25/8,250.75
  6. Step 6: Final answer
    x = 36,322.52

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.