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Finding the Third Proportional to 11,784 and 25,197

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Solution

The third proportional to 11,784 and 25,197 is: 53,877.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,784 : 25,197 = 25,197 : x
  2. Step 2: Convert to fraction form
    11,784/25,197 = 25,197/x
  3. Step 3: Cross multiply
    11,784x = 25,197 × 25,197
  4. Step 4: Simplify right side
    11,784x = 634,888,809
  5. Step 5: Solve for x
    x = 634,888,809/11,784
  6. Step 6: Final answer
    x = 53,877.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.