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Finding the Third Proportional to 3,200.50 and 4,706.75

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Solution

The third proportional to 3,200.50 and 4,706.75 is: 6,921.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.50 : 4,706.75 = 4,706.75 : x
  2. Step 2: Convert to fraction form
    3,200.50/4,706.75 = 4,706.75/x
  3. Step 3: Cross multiply
    3,200.50x = 4,706.75 × 4,706.75
  4. Step 4: Simplify right side
    3,200.50x = 22,153,495.56
  5. Step 5: Solve for x
    x = 22,153,495.56/3,200.50
  6. Step 6: Final answer
    x = 6,921.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.