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Finding the Third Proportional to 4,506.75 and 9,706.78

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Solution

The third proportional to 4,506.75 and 9,706.78 is: 20,906.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506.75 : 9,706.78 = 9,706.78 : x
  2. Step 2: Convert to fraction form
    4,506.75/9,706.78 = 9,706.78/x
  3. Step 3: Cross multiply
    4,506.75x = 9,706.78 × 9,706.78
  4. Step 4: Simplify right side
    4,506.75x = 94,221,602.24
  5. Step 5: Solve for x
    x = 94,221,602.24/4,506.75
  6. Step 6: Final answer
    x = 20,906.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.