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Finding the Third Proportional to 9,401.63 and 20,614.13

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Solution

The third proportional to 9,401.63 and 20,614.13 is: 45,198.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,401.63 : 20,614.13 = 20,614.13 : x
  2. Step 2: Convert to fraction form
    9,401.63/20,614.13 = 20,614.13/x
  3. Step 3: Cross multiply
    9,401.63x = 20,614.13 × 20,614.13
  4. Step 4: Simplify right side
    9,401.63x = 424,942,149.52
  5. Step 5: Solve for x
    x = 424,942,149.52/9,401.63
  6. Step 6: Final answer
    x = 45,198.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.