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Finding the Third Proportional to 12,696.75 and 19,298.25

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Solution

The third proportional to 12,696.75 and 19,298.25 is: 29,332.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,696.75 : 19,298.25 = 19,298.25 : x
  2. Step 2: Convert to fraction form
    12,696.75/19,298.25 = 19,298.25/x
  3. Step 3: Cross multiply
    12,696.75x = 19,298.25 × 19,298.25
  4. Step 4: Simplify right side
    12,696.75x = 372,422,453.06
  5. Step 5: Solve for x
    x = 372,422,453.06/12,696.75
  6. Step 6: Final answer
    x = 29,332.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.