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Finding the Third Proportional to 4,907.25 and 6,530.44

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Solution

The third proportional to 4,907.25 and 6,530.44 is: 8,690.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.25 : 6,530.44 = 6,530.44 : x
  2. Step 2: Convert to fraction form
    4,907.25/6,530.44 = 6,530.44/x
  3. Step 3: Cross multiply
    4,907.25x = 6,530.44 × 6,530.44
  4. Step 4: Simplify right side
    4,907.25x = 42,646,613.94
  5. Step 5: Solve for x
    x = 42,646,613.94/4,907.25
  6. Step 6: Final answer
    x = 8,690.53

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.