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Finding the Third Proportional to 5,618.25 and 8,530.03

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Solution

The third proportional to 5,618.25 and 8,530.03 is: 12,950.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,618.25 : 8,530.03 = 8,530.03 : x
  2. Step 2: Convert to fraction form
    5,618.25/8,530.03 = 8,530.03/x
  3. Step 3: Cross multiply
    5,618.25x = 8,530.03 × 8,530.03
  4. Step 4: Simplify right side
    5,618.25x = 72,761,433.13
  5. Step 5: Solve for x
    x = 72,761,433.13/5,618.25
  6. Step 6: Final answer
    x = 12,950.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.