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Finding the Third Proportional to 4,474.50 and 9,525

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Solution

The third proportional to 4,474.50 and 9,525 is: 20,276.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,474.50 : 9,525 = 9,525 : x
  2. Step 2: Convert to fraction form
    4,474.50/9,525 = 9,525/x
  3. Step 3: Cross multiply
    4,474.50x = 9,525 × 9,525
  4. Step 4: Simplify right side
    4,474.50x = 90,725,625
  5. Step 5: Solve for x
    x = 90,725,625/4,474.50
  6. Step 6: Final answer
    x = 20,276.15

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.