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Finding the Third Proportional to 5,517 and 5,989.50

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Solution

The third proportional to 5,517 and 5,989.50 is: 6,502.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,517 : 5,989.50 = 5,989.50 : x
  2. Step 2: Convert to fraction form
    5,517/5,989.50 = 5,989.50/x
  3. Step 3: Cross multiply
    5,517x = 5,989.50 × 5,989.50
  4. Step 4: Simplify right side
    5,517x = 35,874,110.25
  5. Step 5: Solve for x
    x = 35,874,110.25/5,517
  6. Step 6: Final answer
    x = 6,502.47

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.