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Finding the Third Proportional to 11,544.56 and 24,931.13

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Solution

The third proportional to 11,544.56 and 24,931.13 is: 53,840.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,544.56 : 24,931.13 = 24,931.13 : x
  2. Step 2: Convert to fraction form
    11,544.56/24,931.13 = 24,931.13/x
  3. Step 3: Cross multiply
    11,544.56x = 24,931.13 × 24,931.13
  4. Step 4: Simplify right side
    11,544.56x = 621,560,993.77
  5. Step 5: Solve for x
    x = 621,560,993.77/11,544.56
  6. Step 6: Final answer
    x = 53,840.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.