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Finding the Third Proportional to 12,533.06 and 26,757.84

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Solution

The third proportional to 12,533.06 and 26,757.84 is: 57,127.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,533.06 : 26,757.84 = 26,757.84 : x
  2. Step 2: Convert to fraction form
    12,533.06/26,757.84 = 26,757.84/x
  3. Step 3: Cross multiply
    12,533.06x = 26,757.84 × 26,757.84
  4. Step 4: Simplify right side
    12,533.06x = 715,982,202.15
  5. Step 5: Solve for x
    x = 715,982,202.15/12,533.06
  6. Step 6: Final answer
    x = 57,127.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.