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Finding the Third Proportional to 4,171.50 and 5,362.88

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Solution

The third proportional to 4,171.50 and 5,362.88 is: 6,894.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,171.50 : 5,362.88 = 5,362.88 : x
  2. Step 2: Convert to fraction form
    4,171.50/5,362.88 = 5,362.88/x
  3. Step 3: Cross multiply
    4,171.50x = 5,362.88 × 5,362.88
  4. Step 4: Simplify right side
    4,171.50x = 28,760,428.27
  5. Step 5: Solve for x
    x = 28,760,428.27/4,171.50
  6. Step 6: Final answer
    x = 6,894.51

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.