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Finding the Third Proportional to 9,025.88 and 20,498.63

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Solution

The third proportional to 9,025.88 and 20,498.63 is: 46,554.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,025.88 : 20,498.63 = 20,498.63 : x
  2. Step 2: Convert to fraction form
    9,025.88/20,498.63 = 20,498.63/x
  3. Step 3: Cross multiply
    9,025.88x = 20,498.63 × 20,498.63
  4. Step 4: Simplify right side
    9,025.88x = 420,193,626.89
  5. Step 5: Solve for x
    x = 420,193,626.89/9,025.88
  6. Step 6: Final answer
    x = 46,554.34

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.