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Finding the Third Proportional to 4,573 and 10,685.50

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Solution

The third proportional to 4,573 and 10,685.50 is: 24,968.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573 : 10,685.50 = 10,685.50 : x
  2. Step 2: Convert to fraction form
    4,573/10,685.50 = 10,685.50/x
  3. Step 3: Cross multiply
    4,573x = 10,685.50 × 10,685.50
  4. Step 4: Simplify right side
    4,573x = 114,179,910.25
  5. Step 5: Solve for x
    x = 114,179,910.25/4,573
  6. Step 6: Final answer
    x = 24,968.27

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.