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Finding the Third Proportional to 12,825.84 and 17,928.84

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Solution

The third proportional to 12,825.84 and 17,928.84 is: 25,062.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,825.84 : 17,928.84 = 17,928.84 : x
  2. Step 2: Convert to fraction form
    12,825.84/17,928.84 = 17,928.84/x
  3. Step 3: Cross multiply
    12,825.84x = 17,928.84 × 17,928.84
  4. Step 4: Simplify right side
    12,825.84x = 321,443,438.21
  5. Step 5: Solve for x
    x = 321,443,438.21/12,825.84
  6. Step 6: Final answer
    x = 25,062.17

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.