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Finding the Third Proportional to 12,718.69 and 25,796.81

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Solution

The third proportional to 12,718.69 and 25,796.81 is: 52,322.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,718.69 : 25,796.81 = 25,796.81 : x
  2. Step 2: Convert to fraction form
    12,718.69/25,796.81 = 25,796.81/x
  3. Step 3: Cross multiply
    12,718.69x = 25,796.81 × 25,796.81
  4. Step 4: Simplify right side
    12,718.69x = 665,475,535.16
  5. Step 5: Solve for x
    x = 665,475,535.16/12,718.69
  6. Step 6: Final answer
    x = 52,322.66

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.