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Finding the Third Proportional to 5,824.50 and 12,729

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Solution

The third proportional to 5,824.50 and 12,729 is: 27,818.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.50 : 12,729 = 12,729 : x
  2. Step 2: Convert to fraction form
    5,824.50/12,729 = 12,729/x
  3. Step 3: Cross multiply
    5,824.50x = 12,729 × 12,729
  4. Step 4: Simplify right side
    5,824.50x = 162,027,441
  5. Step 5: Solve for x
    x = 162,027,441/5,824.50
  6. Step 6: Final answer
    x = 27,818.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.