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Finding the Third Proportional to 9,486.84 and 20,818.83

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Solution

The third proportional to 9,486.84 and 20,818.83 is: 45,686.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.84 : 20,818.83 = 20,818.83 : x
  2. Step 2: Convert to fraction form
    9,486.84/20,818.83 = 20,818.83/x
  3. Step 3: Cross multiply
    9,486.84x = 20,818.83 × 20,818.83
  4. Step 4: Simplify right side
    9,486.84x = 433,423,604.50
  5. Step 5: Solve for x
    x = 433,423,604.50/9,486.84
  6. Step 6: Final answer
    x = 45,686.81

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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.