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Finding the Third Proportional to 11,274.19 and 25,499.81

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Solution

The third proportional to 11,274.19 and 25,499.81 is: 57,675.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,274.19 : 25,499.81 = 25,499.81 : x
  2. Step 2: Convert to fraction form
    11,274.19/25,499.81 = 25,499.81/x
  3. Step 3: Cross multiply
    11,274.19x = 25,499.81 × 25,499.81
  4. Step 4: Simplify right side
    11,274.19x = 650,240,437.54
  5. Step 5: Solve for x
    x = 650,240,437.54/11,274.19
  6. Step 6: Final answer
    x = 57,675.15

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.