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Finding the Third Proportional to 9,492.19 and 20,841.05

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Solution

The third proportional to 9,492.19 and 20,841.05 is: 45,758.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.19 : 20,841.05 = 20,841.05 : x
  2. Step 2: Convert to fraction form
    9,492.19/20,841.05 = 20,841.05/x
  3. Step 3: Cross multiply
    9,492.19x = 20,841.05 × 20,841.05
  4. Step 4: Simplify right side
    9,492.19x = 434,349,234.85
  5. Step 5: Solve for x
    x = 434,349,234.85/9,492.19
  6. Step 6: Final answer
    x = 45,758.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.