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Finding the Third Proportional to 4,528.50 and 9,549.38

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Solution

The third proportional to 4,528.50 and 9,549.38 is: 20,137.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,528.50 : 9,549.38 = 9,549.38 : x
  2. Step 2: Convert to fraction form
    4,528.50/9,549.38 = 9,549.38/x
  3. Step 3: Cross multiply
    4,528.50x = 9,549.38 × 9,549.38
  4. Step 4: Simplify right side
    4,528.50x = 91,190,562.89
  5. Step 5: Solve for x
    x = 91,190,562.89/4,528.50
  6. Step 6: Final answer
    x = 20,137.03

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.