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Finding the Third Proportional to 9,706.50 and 20,685

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Solution

The third proportional to 9,706.50 and 20,685 is: 44,080.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.50 : 20,685 = 20,685 : x
  2. Step 2: Convert to fraction form
    9,706.50/20,685 = 20,685/x
  3. Step 3: Cross multiply
    9,706.50x = 20,685 × 20,685
  4. Step 4: Simplify right side
    9,706.50x = 427,869,225
  5. Step 5: Solve for x
    x = 427,869,225/9,706.50
  6. Step 6: Final answer
    x = 44,080.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.