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Finding the Third Proportional to 4,530.23 and 6,774.26

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Solution

The third proportional to 4,530.23 and 6,774.26 is: 10,129.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,530.23 : 6,774.26 = 6,774.26 : x
  2. Step 2: Convert to fraction form
    4,530.23/6,774.26 = 6,774.26/x
  3. Step 3: Cross multiply
    4,530.23x = 6,774.26 × 6,774.26
  4. Step 4: Simplify right side
    4,530.23x = 45,890,568.91
  5. Step 5: Solve for x
    x = 45,890,568.91/4,530.23
  6. Step 6: Final answer
    x = 10,129.84

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