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Finding the Third Proportional to 5,574 and 13,185

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Solution

The third proportional to 5,574 and 13,185 is: 31,188.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574 : 13,185 = 13,185 : x
  2. Step 2: Convert to fraction form
    5,574/13,185 = 13,185/x
  3. Step 3: Cross multiply
    5,574x = 13,185 × 13,185
  4. Step 4: Simplify right side
    5,574x = 173,844,225
  5. Step 5: Solve for x
    x = 173,844,225/5,574
  6. Step 6: Final answer
    x = 31,188.41

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.