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Finding the Third Proportional to 13,618.13 and 31,797.56

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Solution

The third proportional to 13,618.13 and 31,797.56 is: 74,245.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,618.13 : 31,797.56 = 31,797.56 : x
  2. Step 2: Convert to fraction form
    13,618.13/31,797.56 = 31,797.56/x
  3. Step 3: Cross multiply
    13,618.13x = 31,797.56 × 31,797.56
  4. Step 4: Simplify right side
    13,618.13x = 1,011,084,980.94
  5. Step 5: Solve for x
    x = 1,011,084,980.94/13,618.13
  6. Step 6: Final answer
    x = 74,245.54

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.