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Finding the Third Proportional to 12,825.75 and 19,275.75

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Solution

The third proportional to 12,825.75 and 19,275.75 is: 28,969.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,825.75 : 19,275.75 = 19,275.75 : x
  2. Step 2: Convert to fraction form
    12,825.75/19,275.75 = 19,275.75/x
  3. Step 3: Cross multiply
    12,825.75x = 19,275.75 × 19,275.75
  4. Step 4: Simplify right side
    12,825.75x = 371,554,538.06
  5. Step 5: Solve for x
    x = 371,554,538.06/12,825.75
  6. Step 6: Final answer
    x = 28,969.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.