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Finding the Third Proportional to 13,292.86 and 26,973

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Solution

The third proportional to 13,292.86 and 26,973 is: 54,731.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,292.86 : 26,973 = 26,973 : x
  2. Step 2: Convert to fraction form
    13,292.86/26,973 = 26,973/x
  3. Step 3: Cross multiply
    13,292.86x = 26,973 × 26,973
  4. Step 4: Simplify right side
    13,292.86x = 727,542,729
  5. Step 5: Solve for x
    x = 727,542,729/13,292.86
  6. Step 6: Final answer
    x = 54,731.85

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.