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Finding the Third Proportional to 12,054.66 and 25,903.13

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Solution

The third proportional to 12,054.66 and 25,903.13 is: 55,660.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,054.66 : 25,903.13 = 25,903.13 : x
  2. Step 2: Convert to fraction form
    12,054.66/25,903.13 = 25,903.13/x
  3. Step 3: Cross multiply
    12,054.66x = 25,903.13 × 25,903.13
  4. Step 4: Simplify right side
    12,054.66x = 670,971,884.77
  5. Step 5: Solve for x
    x = 670,971,884.77/12,054.66
  6. Step 6: Final answer
    x = 55,660.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.