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Finding the Third Proportional to 9,502.63 and 20,625.57

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Solution

The third proportional to 9,502.63 and 20,625.57 is: 44,768.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.63 : 20,625.57 = 20,625.57 : x
  2. Step 2: Convert to fraction form
    9,502.63/20,625.57 = 20,625.57/x
  3. Step 3: Cross multiply
    9,502.63x = 20,625.57 × 20,625.57
  4. Step 4: Simplify right side
    9,502.63x = 425,414,311.85
  5. Step 5: Solve for x
    x = 425,414,311.85/9,502.63
  6. Step 6: Final answer
    x = 44,768.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.