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Finding the Third Proportional to 12,036.09 and 25,631.44

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Solution

The third proportional to 12,036.09 and 25,631.44 is: 54,583.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,036.09 : 25,631.44 = 25,631.44 : x
  2. Step 2: Convert to fraction form
    12,036.09/25,631.44 = 25,631.44/x
  3. Step 3: Cross multiply
    12,036.09x = 25,631.44 × 25,631.44
  4. Step 4: Simplify right side
    12,036.09x = 656,970,588.32
  5. Step 5: Solve for x
    x = 656,970,588.32/12,036.09
  6. Step 6: Final answer
    x = 54,583.37

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1.5x scale

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.