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Finding the Third Proportional to 5,718 and 8,553.75

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Solution

The third proportional to 5,718 and 8,553.75 is: 12,795.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718 : 8,553.75 = 8,553.75 : x
  2. Step 2: Convert to fraction form
    5,718/8,553.75 = 8,553.75/x
  3. Step 3: Cross multiply
    5,718x = 8,553.75 × 8,553.75
  4. Step 4: Simplify right side
    5,718x = 73,166,639.06
  5. Step 5: Solve for x
    x = 73,166,639.06/5,718
  6. Step 6: Final answer
    x = 12,795.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.