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Finding the Third Proportional to 12,825 and 19,407.75

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Solution

The third proportional to 12,825 and 19,407.75 is: 29,369.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,825 : 19,407.75 = 19,407.75 : x
  2. Step 2: Convert to fraction form
    12,825/19,407.75 = 19,407.75/x
  3. Step 3: Cross multiply
    12,825x = 19,407.75 × 19,407.75
  4. Step 4: Simplify right side
    12,825x = 376,660,760.06
  5. Step 5: Solve for x
    x = 376,660,760.06/12,825
  6. Step 6: Final answer
    x = 29,369.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.