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Finding the Third Proportional to 4,395.38 and 9,023.63

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Solution

The third proportional to 4,395.38 and 9,023.63 is: 18,525.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,395.38 : 9,023.63 = 9,023.63 : x
  2. Step 2: Convert to fraction form
    4,395.38/9,023.63 = 9,023.63/x
  3. Step 3: Cross multiply
    4,395.38x = 9,023.63 × 9,023.63
  4. Step 4: Simplify right side
    4,395.38x = 81,425,808.14
  5. Step 5: Solve for x
    x = 81,425,808.14/4,395.38
  6. Step 6: Final answer
    x = 18,525.34

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.