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Finding the Third Proportional to 4,213.50 and 4,663.50

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Solution

The third proportional to 4,213.50 and 4,663.50 is: 5,161.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213.50 : 4,663.50 = 4,663.50 : x
  2. Step 2: Convert to fraction form
    4,213.50/4,663.50 = 4,663.50/x
  3. Step 3: Cross multiply
    4,213.50x = 4,663.50 × 4,663.50
  4. Step 4: Simplify right side
    4,213.50x = 21,748,232.25
  5. Step 5: Solve for x
    x = 21,748,232.25/4,213.50
  6. Step 6: Final answer
    x = 5,161.56

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.