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Finding the Third Proportional to 5,205.75 and 8,385.75

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Solution

The third proportional to 5,205.75 and 8,385.75 is: 13,508.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.75 : 8,385.75 = 8,385.75 : x
  2. Step 2: Convert to fraction form
    5,205.75/8,385.75 = 8,385.75/x
  3. Step 3: Cross multiply
    5,205.75x = 8,385.75 × 8,385.75
  4. Step 4: Simplify right side
    5,205.75x = 70,320,803.06
  5. Step 5: Solve for x
    x = 70,320,803.06/5,205.75
  6. Step 6: Final answer
    x = 13,508.29

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.