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Finding the Third Proportional to 12,265.25 and 19,431.38

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Solution

The third proportional to 12,265.25 and 19,431.38 is: 30,784.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,265.25 : 19,431.38 = 19,431.38 : x
  2. Step 2: Convert to fraction form
    12,265.25/19,431.38 = 19,431.38/x
  3. Step 3: Cross multiply
    12,265.25x = 19,431.38 × 19,431.38
  4. Step 4: Simplify right side
    12,265.25x = 377,578,334.39
  5. Step 5: Solve for x
    x = 377,578,334.39/12,265.25
  6. Step 6: Final answer
    x = 30,784.40

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.