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Finding the Third Proportional to 4,517.02 and 9,527.63

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Solution

The third proportional to 4,517.02 and 9,527.63 is: 20,096.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,517.02 : 9,527.63 = 9,527.63 : x
  2. Step 2: Convert to fraction form
    4,517.02/9,527.63 = 9,527.63/x
  3. Step 3: Cross multiply
    4,517.02x = 9,527.63 × 9,527.63
  4. Step 4: Simplify right side
    4,517.02x = 90,775,638.14
  5. Step 5: Solve for x
    x = 90,775,638.14/4,517.02
  6. Step 6: Final answer
    x = 20,096.37

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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.