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Finding the Third Proportional to 5,616 and 7,985.25

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Solution

The third proportional to 5,616 and 7,985.25 is: 11,354.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616 : 7,985.25 = 7,985.25 : x
  2. Step 2: Convert to fraction form
    5,616/7,985.25 = 7,985.25/x
  3. Step 3: Cross multiply
    5,616x = 7,985.25 × 7,985.25
  4. Step 4: Simplify right side
    5,616x = 63,764,217.56
  5. Step 5: Solve for x
    x = 63,764,217.56/5,616
  6. Step 6: Final answer
    x = 11,354.03

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.