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Finding the Third Proportional to 9,735.19 and 18,471.80

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Solution

The third proportional to 9,735.19 and 18,471.80 is: 35,048.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.19 : 18,471.80 = 18,471.80 : x
  2. Step 2: Convert to fraction form
    9,735.19/18,471.80 = 18,471.80/x
  3. Step 3: Cross multiply
    9,735.19x = 18,471.80 × 18,471.80
  4. Step 4: Simplify right side
    9,735.19x = 341,207,279.79
  5. Step 5: Solve for x
    x = 341,207,279.79/9,735.19
  6. Step 6: Final answer
    x = 35,048.87

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.