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Finding the Third Proportional to 5,733 and 13,390.50

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Solution

The third proportional to 5,733 and 13,390.50 is: 31,276.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733 : 13,390.50 = 13,390.50 : x
  2. Step 2: Convert to fraction form
    5,733/13,390.50 = 13,390.50/x
  3. Step 3: Cross multiply
    5,733x = 13,390.50 × 13,390.50
  4. Step 4: Simplify right side
    5,733x = 179,305,490.25
  5. Step 5: Solve for x
    x = 179,305,490.25/5,733
  6. Step 6: Final answer
    x = 31,276.03

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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.